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Finding the Third Proportional to 662,784 and 1,418,448

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Solution

The third proportional to 662,784 and 1,418,448 is: 3,035,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,784 : 1,418,448 = 1,418,448 : x
  2. Step 2: Convert to fraction form
    662,784/1,418,448 = 1,418,448/x
  3. Step 3: Cross multiply
    662,784x = 1,418,448 × 1,418,448
  4. Step 4: Simplify right side
    662,784x = 2,011,994,728,704
  5. Step 5: Solve for x
    x = 2,011,994,728,704/662,784
  6. Step 6: Final answer
    x = 3,035,671.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.