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Finding the Third Proportional to 2,356,417.13 and 3,686,257.69

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Solution

The third proportional to 2,356,417.13 and 3,686,257.69 is: 5,766,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,417.13 : 3,686,257.69 = 3,686,257.69 : x
  2. Step 2: Convert to fraction form
    2,356,417.13/3,686,257.69 = 3,686,257.69/x
  3. Step 3: Cross multiply
    2,356,417.13x = 3,686,257.69 × 3,686,257.69
  4. Step 4: Simplify right side
    2,356,417.13x = 13,588,495,738,652.85
  5. Step 5: Solve for x
    x = 13,588,495,738,652.85/2,356,417.13
  6. Step 6: Final answer
    x = 5,766,591.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.