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Finding the Third Proportional to 632,369 and 971,882

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Solution

The third proportional to 632,369 and 971,882 is: 1,493,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,369 : 971,882 = 971,882 : x
  2. Step 2: Convert to fraction form
    632,369/971,882 = 971,882/x
  3. Step 3: Cross multiply
    632,369x = 971,882 × 971,882
  4. Step 4: Simplify right side
    632,369x = 944,554,621,924
  5. Step 5: Solve for x
    x = 944,554,621,924/632,369
  6. Step 6: Final answer
    x = 1,493,676.35

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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.