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Finding the Third Proportional to 2,023,688 and 4,309,555

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Solution

The third proportional to 2,023,688 and 4,309,555 is: 9,177,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,688 : 4,309,555 = 4,309,555 : x
  2. Step 2: Convert to fraction form
    2,023,688/4,309,555 = 4,309,555/x
  3. Step 3: Cross multiply
    2,023,688x = 4,309,555 × 4,309,555
  4. Step 4: Simplify right side
    2,023,688x = 18,572,264,298,025
  5. Step 5: Solve for x
    x = 18,572,264,298,025/2,023,688
  6. Step 6: Final answer
    x = 9,177,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.