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Finding the Third Proportional to 3,030,657 and 4,541,541

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Solution

The third proportional to 3,030,657 and 4,541,541 is: 6,805,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030,657 : 4,541,541 = 4,541,541 : x
  2. Step 2: Convert to fraction form
    3,030,657/4,541,541 = 4,541,541/x
  3. Step 3: Cross multiply
    3,030,657x = 4,541,541 × 4,541,541
  4. Step 4: Simplify right side
    3,030,657x = 20,625,594,654,681
  5. Step 5: Solve for x
    x = 20,625,594,654,681/3,030,657
  6. Step 6: Final answer
    x = 6,805,651.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.