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Finding the Third Proportional to 649,850 and 974,775

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Solution

The third proportional to 649,850 and 974,775 is: 1,462,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,850 : 974,775 = 974,775 : x
  2. Step 2: Convert to fraction form
    649,850/974,775 = 974,775/x
  3. Step 3: Cross multiply
    649,850x = 974,775 × 974,775
  4. Step 4: Simplify right side
    649,850x = 950,186,300,625
  5. Step 5: Solve for x
    x = 950,186,300,625/649,850
  6. Step 6: Final answer
    x = 1,462,162.50

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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.