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Finding the Third Proportional to 3,447,854 and 5,456,829

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Solution

The third proportional to 3,447,854 and 5,456,829 is: 8,636,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447,854 : 5,456,829 = 5,456,829 : x
  2. Step 2: Convert to fraction form
    3,447,854/5,456,829 = 5,456,829/x
  3. Step 3: Cross multiply
    3,447,854x = 5,456,829 × 5,456,829
  4. Step 4: Simplify right side
    3,447,854x = 29,776,982,735,241
  5. Step 5: Solve for x
    x = 29,776,982,735,241/3,447,854
  6. Step 6: Final answer
    x = 8,636,381.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.