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Finding the Third Proportional to 634,982 and 952,386

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Solution

The third proportional to 634,982 and 952,386 is: 1,428,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,982 : 952,386 = 952,386 : x
  2. Step 2: Convert to fraction form
    634,982/952,386 = 952,386/x
  3. Step 3: Cross multiply
    634,982x = 952,386 × 952,386
  4. Step 4: Simplify right side
    634,982x = 907,039,092,996
  5. Step 5: Solve for x
    x = 907,039,092,996/634,982
  6. Step 6: Final answer
    x = 1,428,448.51

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Why These Related Problems?

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