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Finding the Third Proportional to 1,143,747 and 2,475,780

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Solution

The third proportional to 1,143,747 and 2,475,780 is: 5,359,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,747 : 2,475,780 = 2,475,780 : x
  2. Step 2: Convert to fraction form
    1,143,747/2,475,780 = 2,475,780/x
  3. Step 3: Cross multiply
    1,143,747x = 2,475,780 × 2,475,780
  4. Step 4: Simplify right side
    1,143,747x = 6,129,486,608,400
  5. Step 5: Solve for x
    x = 6,129,486,608,400/1,143,747
  6. Step 6: Final answer
    x = 5,359,128.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.