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Finding the Third Proportional to 468,005.63 and 1,010,665.13

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Solution

The third proportional to 468,005.63 and 1,010,665.13 is: 2,182,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,005.63 : 1,010,665.13 = 1,010,665.13 : x
  2. Step 2: Convert to fraction form
    468,005.63/1,010,665.13 = 1,010,665.13/x
  3. Step 3: Cross multiply
    468,005.63x = 1,010,665.13 × 1,010,665.13
  4. Step 4: Simplify right side
    468,005.63x = 1,021,443,994,891.27
  5. Step 5: Solve for x
    x = 1,021,443,994,891.27/468,005.63
  6. Step 6: Final answer
    x = 2,182,546.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.