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Finding the Third Proportional to 418,487 and 911,706

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Solution

The third proportional to 418,487 and 911,706 is: 1,986,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,487 : 911,706 = 911,706 : x
  2. Step 2: Convert to fraction form
    418,487/911,706 = 911,706/x
  3. Step 3: Cross multiply
    418,487x = 911,706 × 911,706
  4. Step 4: Simplify right side
    418,487x = 831,207,830,436
  5. Step 5: Solve for x
    x = 831,207,830,436/418,487
  6. Step 6: Final answer
    x = 1,986,221.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.