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Finding the Third Proportional to 677,748 and 1,411,680

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Solution

The third proportional to 677,748 and 1,411,680 is: 2,940,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,748 : 1,411,680 = 1,411,680 : x
  2. Step 2: Convert to fraction form
    677,748/1,411,680 = 1,411,680/x
  3. Step 3: Cross multiply
    677,748x = 1,411,680 × 1,411,680
  4. Step 4: Simplify right side
    677,748x = 1,992,840,422,400
  5. Step 5: Solve for x
    x = 1,992,840,422,400/677,748
  6. Step 6: Final answer
    x = 2,940,385.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.