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Finding the Third Proportional to 2,981,734 and 6,435,572

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Solution

The third proportional to 2,981,734 and 6,435,572 is: 13,890,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,734 : 6,435,572 = 6,435,572 : x
  2. Step 2: Convert to fraction form
    2,981,734/6,435,572 = 6,435,572/x
  3. Step 3: Cross multiply
    2,981,734x = 6,435,572 × 6,435,572
  4. Step 4: Simplify right side
    2,981,734x = 41,416,586,967,184
  5. Step 5: Solve for x
    x = 41,416,586,967,184/2,981,734
  6. Step 6: Final answer
    x = 13,890,101.19

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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.