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Finding the Third Proportional to 713,898 and 1,105,407

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Solution

The third proportional to 713,898 and 1,105,407 is: 1,711,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,898 : 1,105,407 = 1,105,407 : x
  2. Step 2: Convert to fraction form
    713,898/1,105,407 = 1,105,407/x
  3. Step 3: Cross multiply
    713,898x = 1,105,407 × 1,105,407
  4. Step 4: Simplify right side
    713,898x = 1,221,924,635,649
  5. Step 5: Solve for x
    x = 1,221,924,635,649/713,898
  6. Step 6: Final answer
    x = 1,711,623.56

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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.