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Finding the Third Proportional to 653,457.38 and 1,407,026.95

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Solution

The third proportional to 653,457.38 and 1,407,026.95 is: 3,029,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,457.38 : 1,407,026.95 = 1,407,026.95 : x
  2. Step 2: Convert to fraction form
    653,457.38/1,407,026.95 = 1,407,026.95/x
  3. Step 3: Cross multiply
    653,457.38x = 1,407,026.95 × 1,407,026.95
  4. Step 4: Simplify right side
    653,457.38x = 1,979,724,846,820.22
  5. Step 5: Solve for x
    x = 1,979,724,846,820.22/653,457.38
  6. Step 6: Final answer
    x = 3,029,615.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.