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Finding the Third Proportional to 784,444 and 1,712,744

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Solution

The third proportional to 784,444 and 1,712,744 is: 3,739,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,444 : 1,712,744 = 1,712,744 : x
  2. Step 2: Convert to fraction form
    784,444/1,712,744 = 1,712,744/x
  3. Step 3: Cross multiply
    784,444x = 1,712,744 × 1,712,744
  4. Step 4: Simplify right side
    784,444x = 2,933,492,009,536
  5. Step 5: Solve for x
    x = 2,933,492,009,536/784,444
  6. Step 6: Final answer
    x = 3,739,581.17

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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.