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Finding the Third Proportional to 675,267.57 and 1,030,051.37

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Solution

The third proportional to 675,267.57 and 1,030,051.37 is: 1,571,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,267.57 : 1,030,051.37 = 1,030,051.37 : x
  2. Step 2: Convert to fraction form
    675,267.57/1,030,051.37 = 1,030,051.37/x
  3. Step 3: Cross multiply
    675,267.57x = 1,030,051.37 × 1,030,051.37
  4. Step 4: Simplify right side
    675,267.57x = 1,061,005,827,092.22
  5. Step 5: Solve for x
    x = 1,061,005,827,092.22/675,267.57
  6. Step 6: Final answer
    x = 1,571,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.