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Finding the Third Proportional to 631,666 and 971,896

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Solution

The third proportional to 631,666 and 971,896 is: 1,495,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,666 : 971,896 = 971,896 : x
  2. Step 2: Convert to fraction form
    631,666/971,896 = 971,896/x
  3. Step 3: Cross multiply
    631,666x = 971,896 × 971,896
  4. Step 4: Simplify right side
    631,666x = 944,581,834,816
  5. Step 5: Solve for x
    x = 944,581,834,816/631,666
  6. Step 6: Final answer
    x = 1,495,381.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.