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Finding the Third Proportional to 4,540,830 and 7,031,565

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Solution

The third proportional to 4,540,830 and 7,031,565 is: 10,888,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,830 : 7,031,565 = 7,031,565 : x
  2. Step 2: Convert to fraction form
    4,540,830/7,031,565 = 7,031,565/x
  3. Step 3: Cross multiply
    4,540,830x = 7,031,565 × 7,031,565
  4. Step 4: Simplify right side
    4,540,830x = 49,442,906,349,225
  5. Step 5: Solve for x
    x = 49,442,906,349,225/4,540,830
  6. Step 6: Final answer
    x = 10,888,517.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.