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Finding the Third Proportional to 2,981,760 and 6,549,276

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Solution

The third proportional to 2,981,760 and 6,549,276 is: 14,385,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,760 : 6,549,276 = 6,549,276 : x
  2. Step 2: Convert to fraction form
    2,981,760/6,549,276 = 6,549,276/x
  3. Step 3: Cross multiply
    2,981,760x = 6,549,276 × 6,549,276
  4. Step 4: Simplify right side
    2,981,760x = 42,893,016,124,176
  5. Step 5: Solve for x
    x = 42,893,016,124,176/2,981,760
  6. Step 6: Final answer
    x = 14,385,133.65

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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.