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Finding the Third Proportional to 1,098,637.50 and 2,410,001.25

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Solution

The third proportional to 1,098,637.50 and 2,410,001.25 is: 5,286,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,637.50 : 2,410,001.25 = 2,410,001.25 : x
  2. Step 2: Convert to fraction form
    1,098,637.50/2,410,001.25 = 2,410,001.25/x
  3. Step 3: Cross multiply
    1,098,637.50x = 2,410,001.25 × 2,410,001.25
  4. Step 4: Simplify right side
    1,098,637.50x = 5,808,106,025,001.56
  5. Step 5: Solve for x
    x = 5,808,106,025,001.56/1,098,637.50
  6. Step 6: Final answer
    x = 5,286,644.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.