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Finding the Third Proportional to 626,564 and 940,038

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Solution

The third proportional to 626,564 and 940,038 is: 1,410,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,564 : 940,038 = 940,038 : x
  2. Step 2: Convert to fraction form
    626,564/940,038 = 940,038/x
  3. Step 3: Cross multiply
    626,564x = 940,038 × 940,038
  4. Step 4: Simplify right side
    626,564x = 883,671,441,444
  5. Step 5: Solve for x
    x = 883,671,441,444/626,564
  6. Step 6: Final answer
    x = 1,410,345.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.