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Finding the Third Proportional to 664,638 and 974,747

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Solution

The third proportional to 664,638 and 974,747 is: 1,429,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,638 : 974,747 = 974,747 : x
  2. Step 2: Convert to fraction form
    664,638/974,747 = 974,747/x
  3. Step 3: Cross multiply
    664,638x = 974,747 × 974,747
  4. Step 4: Simplify right side
    664,638x = 950,131,714,009
  5. Step 5: Solve for x
    x = 950,131,714,009/664,638
  6. Step 6: Final answer
    x = 1,429,547.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.