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Finding the Third Proportional to 587,619 and 1,319,046

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Solution

The third proportional to 587,619 and 1,319,046 is: 2,960,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,619 : 1,319,046 = 1,319,046 : x
  2. Step 2: Convert to fraction form
    587,619/1,319,046 = 1,319,046/x
  3. Step 3: Cross multiply
    587,619x = 1,319,046 × 1,319,046
  4. Step 4: Simplify right side
    587,619x = 1,739,882,350,116
  5. Step 5: Solve for x
    x = 1,739,882,350,116/587,619
  6. Step 6: Final answer
    x = 2,960,902.13

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.