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Finding the Third Proportional to 649,788 and 974,682

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Solution

The third proportional to 649,788 and 974,682 is: 1,462,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,788 : 974,682 = 974,682 : x
  2. Step 2: Convert to fraction form
    649,788/974,682 = 974,682/x
  3. Step 3: Cross multiply
    649,788x = 974,682 × 974,682
  4. Step 4: Simplify right side
    649,788x = 950,005,001,124
  5. Step 5: Solve for x
    x = 950,005,001,124/649,788
  6. Step 6: Final answer
    x = 1,462,023

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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.