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Finding the Third Proportional to 631,663 and 971,891

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Solution

The third proportional to 631,663 and 971,891 is: 1,495,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,663 : 971,891 = 971,891 : x
  2. Step 2: Convert to fraction form
    631,663/971,891 = 971,891/x
  3. Step 3: Cross multiply
    631,663x = 971,891 × 971,891
  4. Step 4: Simplify right side
    631,663x = 944,572,115,881
  5. Step 5: Solve for x
    x = 944,572,115,881/631,663
  6. Step 6: Final answer
    x = 1,495,373.51

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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.