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Finding the Third Proportional to 1,106,151.19 and 2,413,374.75

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Solution

The third proportional to 1,106,151.19 and 2,413,374.75 is: 5,265,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,151.19 : 2,413,374.75 = 2,413,374.75 : x
  2. Step 2: Convert to fraction form
    1,106,151.19/2,413,374.75 = 2,413,374.75/x
  3. Step 3: Cross multiply
    1,106,151.19x = 2,413,374.75 × 2,413,374.75
  4. Step 4: Simplify right side
    1,106,151.19x = 5,824,377,683,937.56
  5. Step 5: Solve for x
    x = 5,824,377,683,937.56/1,106,151.19
  6. Step 6: Final answer
    x = 5,265,444.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.