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Finding the Third Proportional to 713,745 and 1,147,513.50

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Solution

The third proportional to 713,745 and 1,147,513.50 is: 1,844,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,745 : 1,147,513.50 = 1,147,513.50 : x
  2. Step 2: Convert to fraction form
    713,745/1,147,513.50 = 1,147,513.50/x
  3. Step 3: Cross multiply
    713,745x = 1,147,513.50 × 1,147,513.50
  4. Step 4: Simplify right side
    713,745x = 1,316,787,232,682.25
  5. Step 5: Solve for x
    x = 1,316,787,232,682.25/713,745
  6. Step 6: Final answer
    x = 1,844,898.71

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.