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Finding the Third Proportional to 664,632 and 974,738

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Solution

The third proportional to 664,632 and 974,738 is: 1,429,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,632 : 974,738 = 974,738 : x
  2. Step 2: Convert to fraction form
    664,632/974,738 = 974,738/x
  3. Step 3: Cross multiply
    664,632x = 974,738 × 974,738
  4. Step 4: Simplify right side
    664,632x = 950,114,168,644
  5. Step 5: Solve for x
    x = 950,114,168,644/664,632
  6. Step 6: Final answer
    x = 1,429,534.19

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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.