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Finding the Third Proportional to 5,870,866 and 8,267,457

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Solution

The third proportional to 5,870,866 and 8,267,457 is: 11,642,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870,866 : 8,267,457 = 8,267,457 : x
  2. Step 2: Convert to fraction form
    5,870,866/8,267,457 = 8,267,457/x
  3. Step 3: Cross multiply
    5,870,866x = 8,267,457 × 8,267,457
  4. Step 4: Simplify right side
    5,870,866x = 68,350,845,246,849
  5. Step 5: Solve for x
    x = 68,350,845,246,849/5,870,866
  6. Step 6: Final answer
    x = 11,642,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.