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Finding the Third Proportional to 4,031,780 and 6,242,681

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Solution

The third proportional to 4,031,780 and 6,242,681 is: 9,665,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031,780 : 6,242,681 = 6,242,681 : x
  2. Step 2: Convert to fraction form
    4,031,780/6,242,681 = 6,242,681/x
  3. Step 3: Cross multiply
    4,031,780x = 6,242,681 × 6,242,681
  4. Step 4: Simplify right side
    4,031,780x = 38,971,066,067,761
  5. Step 5: Solve for x
    x = 38,971,066,067,761/4,031,780
  6. Step 6: Final answer
    x = 9,665,970.38

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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.