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Finding the Third Proportional to 1,097,904.38 and 1,641,024.56

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Solution

The third proportional to 1,097,904.38 and 1,641,024.56 is: 2,452,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,904.38 : 1,641,024.56 = 1,641,024.56 : x
  2. Step 2: Convert to fraction form
    1,097,904.38/1,641,024.56 = 1,641,024.56/x
  3. Step 3: Cross multiply
    1,097,904.38x = 1,641,024.56 × 1,641,024.56
  4. Step 4: Simplify right side
    1,097,904.38x = 2,692,961,614,728.32
  5. Step 5: Solve for x
    x = 2,692,961,614,728.32/1,097,904.38
  6. Step 6: Final answer
    x = 2,452,819.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.