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Finding the Third Proportional to 1,070,541 and 1,565,604

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Solution

The third proportional to 1,070,541 and 1,565,604 is: 2,289,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,541 : 1,565,604 = 1,565,604 : x
  2. Step 2: Convert to fraction form
    1,070,541/1,565,604 = 1,565,604/x
  3. Step 3: Cross multiply
    1,070,541x = 1,565,604 × 1,565,604
  4. Step 4: Simplify right side
    1,070,541x = 2,451,115,884,816
  5. Step 5: Solve for x
    x = 2,451,115,884,816/1,070,541
  6. Step 6: Final answer
    x = 2,289,604.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.