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Finding the Third Proportional to 587,964 and 1,246,579

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Solution

The third proportional to 587,964 and 1,246,579 is: 2,642,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,964 : 1,246,579 = 1,246,579 : x
  2. Step 2: Convert to fraction form
    587,964/1,246,579 = 1,246,579/x
  3. Step 3: Cross multiply
    587,964x = 1,246,579 × 1,246,579
  4. Step 4: Simplify right side
    587,964x = 1,553,959,203,241
  5. Step 5: Solve for x
    x = 1,553,959,203,241/587,964
  6. Step 6: Final answer
    x = 2,642,949.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.