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Finding the Third Proportional to 971,942 and 2,159,607

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Solution

The third proportional to 971,942 and 2,159,607 is: 4,798,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,942 : 2,159,607 = 2,159,607 : x
  2. Step 2: Convert to fraction form
    971,942/2,159,607 = 2,159,607/x
  3. Step 3: Cross multiply
    971,942x = 2,159,607 × 2,159,607
  4. Step 4: Simplify right side
    971,942x = 4,663,902,394,449
  5. Step 5: Solve for x
    x = 4,663,902,394,449/971,942
  6. Step 6: Final answer
    x = 4,798,539.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.