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Finding the Third Proportional to 4,127,566 and 6,253,774

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Solution

The third proportional to 4,127,566 and 6,253,774 is: 9,475,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127,566 : 6,253,774 = 6,253,774 : x
  2. Step 2: Convert to fraction form
    4,127,566/6,253,774 = 6,253,774/x
  3. Step 3: Cross multiply
    4,127,566x = 6,253,774 × 6,253,774
  4. Step 4: Simplify right side
    4,127,566x = 39,109,689,243,076
  5. Step 5: Solve for x
    x = 39,109,689,243,076/4,127,566
  6. Step 6: Final answer
    x = 9,475,242.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.