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Finding the Third Proportional to 713,694 and 1,106,397

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Solution

The third proportional to 713,694 and 1,106,397 is: 1,715,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,694 : 1,106,397 = 1,106,397 : x
  2. Step 2: Convert to fraction form
    713,694/1,106,397 = 1,106,397/x
  3. Step 3: Cross multiply
    713,694x = 1,106,397 × 1,106,397
  4. Step 4: Simplify right side
    713,694x = 1,224,114,321,609
  5. Step 5: Solve for x
    x = 1,224,114,321,609/713,694
  6. Step 6: Final answer
    x = 1,715,180.91

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Why These Related Problems?

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