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Finding the Third Proportional to 654,100,973.72 and 1,005,400,093.22

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Solution

The third proportional to 654,100,973.72 and 1,005,400,093.22 is: 1,545,372,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,100,973.72 : 1,005,400,093.22 = 1,005,400,093.22 : x
  2. Step 2: Convert to fraction form
    654,100,973.72/1,005,400,093.22 = 1,005,400,093.22/x
  3. Step 3: Cross multiply
    654,100,973.72x = 1,005,400,093.22 × 1,005,400,093.22
  4. Step 4: Simplify right side
    654,100,973.72x = 1,010,829,347,444,371,584
  5. Step 5: Solve for x
    x = 1,010,829,347,444,371,584/654,100,973.72
  6. Step 6: Final answer
    x = 1,545,372,026.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.