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Finding the Third Proportional to 3,701,421 and 5,042,559

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Solution

The third proportional to 3,701,421 and 5,042,559 is: 6,869,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701,421 : 5,042,559 = 5,042,559 : x
  2. Step 2: Convert to fraction form
    3,701,421/5,042,559 = 5,042,559/x
  3. Step 3: Cross multiply
    3,701,421x = 5,042,559 × 5,042,559
  4. Step 4: Simplify right side
    3,701,421x = 25,427,401,268,481
  5. Step 5: Solve for x
    x = 25,427,401,268,481/3,701,421
  6. Step 6: Final answer
    x = 6,869,632.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.