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Finding the Third Proportional to 480,144.38 and 1,031,457.38

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Solution

The third proportional to 480,144.38 and 1,031,457.38 is: 2,215,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,144.38 : 1,031,457.38 = 1,031,457.38 : x
  2. Step 2: Convert to fraction form
    480,144.38/1,031,457.38 = 1,031,457.38/x
  3. Step 3: Cross multiply
    480,144.38x = 1,031,457.38 × 1,031,457.38
  4. Step 4: Simplify right side
    480,144.38x = 1,063,904,316,441.89
  5. Step 5: Solve for x
    x = 1,063,904,316,441.89/480,144.38
  6. Step 6: Final answer
    x = 2,215,800.85

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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.