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Finding the Third Proportional to 713,234 and 1,554,411

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Solution

The third proportional to 713,234 and 1,554,411 is: 3,387,658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,234 : 1,554,411 = 1,554,411 : x
  2. Step 2: Convert to fraction form
    713,234/1,554,411 = 1,554,411/x
  3. Step 3: Cross multiply
    713,234x = 1,554,411 × 1,554,411
  4. Step 4: Simplify right side
    713,234x = 2,416,193,556,921
  5. Step 5: Solve for x
    x = 2,416,193,556,921/713,234
  6. Step 6: Final answer
    x = 3,387,658.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.