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Finding the Third Proportional to 978,537.38 and 2,024,200.13

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Solution

The third proportional to 978,537.38 and 2,024,200.13 is: 4,187,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,537.38 : 2,024,200.13 = 2,024,200.13 : x
  2. Step 2: Convert to fraction form
    978,537.38/2,024,200.13 = 2,024,200.13/x
  3. Step 3: Cross multiply
    978,537.38x = 2,024,200.13 × 2,024,200.13
  4. Step 4: Simplify right side
    978,537.38x = 4,097,386,146,050.02
  5. Step 5: Solve for x
    x = 4,097,386,146,050.02/978,537.38
  6. Step 6: Final answer
    x = 4,187,255.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.