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Finding the Third Proportional to 584,829 and 1,275,354

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Solution

The third proportional to 584,829 and 1,275,354 is: 2,781,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,829 : 1,275,354 = 1,275,354 : x
  2. Step 2: Convert to fraction form
    584,829/1,275,354 = 1,275,354/x
  3. Step 3: Cross multiply
    584,829x = 1,275,354 × 1,275,354
  4. Step 4: Simplify right side
    584,829x = 1,626,527,825,316
  5. Step 5: Solve for x
    x = 1,626,527,825,316/584,829
  6. Step 6: Final answer
    x = 2,781,202.41

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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.