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Finding the Third Proportional to 719,498 and 1,055,919

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Solution

The third proportional to 719,498 and 1,055,919 is: 1,549,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,498 : 1,055,919 = 1,055,919 : x
  2. Step 2: Convert to fraction form
    719,498/1,055,919 = 1,055,919/x
  3. Step 3: Cross multiply
    719,498x = 1,055,919 × 1,055,919
  4. Step 4: Simplify right side
    719,498x = 1,114,964,934,561
  5. Step 5: Solve for x
    x = 1,114,964,934,561/719,498
  6. Step 6: Final answer
    x = 1,549,642.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.