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Finding the Third Proportional to 677,376 and 1,471,488

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Solution

The third proportional to 677,376 and 1,471,488 is: 3,196,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,376 : 1,471,488 = 1,471,488 : x
  2. Step 2: Convert to fraction form
    677,376/1,471,488 = 1,471,488/x
  3. Step 3: Cross multiply
    677,376x = 1,471,488 × 1,471,488
  4. Step 4: Simplify right side
    677,376x = 2,165,276,934,144
  5. Step 5: Solve for x
    x = 2,165,276,934,144/677,376
  6. Step 6: Final answer
    x = 3,196,565.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.