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Finding the Third Proportional to 2,585,524 and 5,584,040

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Solution

The third proportional to 2,585,524 and 5,584,040 is: 12,060,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,524 : 5,584,040 = 5,584,040 : x
  2. Step 2: Convert to fraction form
    2,585,524/5,584,040 = 5,584,040/x
  3. Step 3: Cross multiply
    2,585,524x = 5,584,040 × 5,584,040
  4. Step 4: Simplify right side
    2,585,524x = 31,181,502,721,600
  5. Step 5: Solve for x
    x = 31,181,502,721,600/2,585,524
  6. Step 6: Final answer
    x = 12,060,032.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.