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Finding the Third Proportional to 713,988 and 1,106,150

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Solution

The third proportional to 713,988 and 1,106,150 is: 1,713,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,988 : 1,106,150 = 1,106,150 : x
  2. Step 2: Convert to fraction form
    713,988/1,106,150 = 1,106,150/x
  3. Step 3: Cross multiply
    713,988x = 1,106,150 × 1,106,150
  4. Step 4: Simplify right side
    713,988x = 1,223,567,822,500
  5. Step 5: Solve for x
    x = 1,223,567,822,500/713,988
  6. Step 6: Final answer
    x = 1,713,709.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.