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Finding the Third Proportional to 541,584 and 1,160,028

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Solution

The third proportional to 541,584 and 1,160,028 is: 2,484,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,584 : 1,160,028 = 1,160,028 : x
  2. Step 2: Convert to fraction form
    541,584/1,160,028 = 1,160,028/x
  3. Step 3: Cross multiply
    541,584x = 1,160,028 × 1,160,028
  4. Step 4: Simplify right side
    541,584x = 1,345,664,960,784
  5. Step 5: Solve for x
    x = 1,345,664,960,784/541,584
  6. Step 6: Final answer
    x = 2,484,683.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.