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Finding the Third Proportional to 706,436 and 1,513,880

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Solution

The third proportional to 706,436 and 1,513,880 is: 3,244,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,436 : 1,513,880 = 1,513,880 : x
  2. Step 2: Convert to fraction form
    706,436/1,513,880 = 1,513,880/x
  3. Step 3: Cross multiply
    706,436x = 1,513,880 × 1,513,880
  4. Step 4: Simplify right side
    706,436x = 2,291,832,654,400
  5. Step 5: Solve for x
    x = 2,291,832,654,400/706,436
  6. Step 6: Final answer
    x = 3,244,218.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.