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Finding the Third Proportional to 551,451 and 1,214,643

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Solution

The third proportional to 551,451 and 1,214,643 is: 2,675,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,451 : 1,214,643 = 1,214,643 : x
  2. Step 2: Convert to fraction form
    551,451/1,214,643 = 1,214,643/x
  3. Step 3: Cross multiply
    551,451x = 1,214,643 × 1,214,643
  4. Step 4: Simplify right side
    551,451x = 1,475,357,617,449
  5. Step 5: Solve for x
    x = 1,475,357,617,449/551,451
  6. Step 6: Final answer
    x = 2,675,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.