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Finding the Third Proportional to 626,483 and 954,413

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Solution

The third proportional to 626,483 and 954,413 is: 1,453,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,483 : 954,413 = 954,413 : x
  2. Step 2: Convert to fraction form
    626,483/954,413 = 954,413/x
  3. Step 3: Cross multiply
    626,483x = 954,413 × 954,413
  4. Step 4: Simplify right side
    626,483x = 910,904,174,569
  5. Step 5: Solve for x
    x = 910,904,174,569/626,483
  6. Step 6: Final answer
    x = 1,453,996.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.