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Finding the Third Proportional to 713,884 and 1,105,386

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Solution

The third proportional to 713,884 and 1,105,386 is: 1,711,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,884 : 1,105,386 = 1,105,386 : x
  2. Step 2: Convert to fraction form
    713,884/1,105,386 = 1,105,386/x
  3. Step 3: Cross multiply
    713,884x = 1,105,386 × 1,105,386
  4. Step 4: Simplify right side
    713,884x = 1,221,878,208,996
  5. Step 5: Solve for x
    x = 1,221,878,208,996/713,884
  6. Step 6: Final answer
    x = 1,711,592.09

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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.