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Finding the Third Proportional to 711,541 and 1,555,814

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Solution

The third proportional to 711,541 and 1,555,814 is: 3,401,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,541 : 1,555,814 = 1,555,814 : x
  2. Step 2: Convert to fraction form
    711,541/1,555,814 = 1,555,814/x
  3. Step 3: Cross multiply
    711,541x = 1,555,814 × 1,555,814
  4. Step 4: Simplify right side
    711,541x = 2,420,557,202,596
  5. Step 5: Solve for x
    x = 2,420,557,202,596/711,541
  6. Step 6: Final answer
    x = 3,401,852.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.