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Finding the Third Proportional to 1,098,228.38 and 2,374,112.53

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Solution

The third proportional to 1,098,228.38 and 2,374,112.53 is: 5,132,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,228.38 : 2,374,112.53 = 2,374,112.53 : x
  2. Step 2: Convert to fraction form
    1,098,228.38/2,374,112.53 = 2,374,112.53/x
  3. Step 3: Cross multiply
    1,098,228.38x = 2,374,112.53 × 2,374,112.53
  4. Step 4: Simplify right side
    1,098,228.38x = 5,636,410,311,038.28
  5. Step 5: Solve for x
    x = 5,636,410,311,038.28/1,098,228.38
  6. Step 6: Final answer
    x = 5,132,275.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.