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Finding the Third Proportional to 2,024,767.13 and 2,847,700.13

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Solution

The third proportional to 2,024,767.13 and 2,847,700.13 is: 4,005,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,767.13 : 2,847,700.13 = 2,847,700.13 : x
  2. Step 2: Convert to fraction form
    2,024,767.13/2,847,700.13 = 2,847,700.13/x
  3. Step 3: Cross multiply
    2,024,767.13x = 2,847,700.13 × 2,847,700.13
  4. Step 4: Simplify right side
    2,024,767.13x = 8,109,396,001,925.02
  5. Step 5: Solve for x
    x = 8,109,396,001,925.02/2,024,767.13
  6. Step 6: Final answer
    x = 4,005,100.59

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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.