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Finding the Third Proportional to 2,280,467.25 and 4,957,864.88

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Solution

The third proportional to 2,280,467.25 and 4,957,864.88 is: 10,778,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280,467.25 : 4,957,864.88 = 4,957,864.88 : x
  2. Step 2: Convert to fraction form
    2,280,467.25/4,957,864.88 = 4,957,864.88/x
  3. Step 3: Cross multiply
    2,280,467.25x = 4,957,864.88 × 4,957,864.88
  4. Step 4: Simplify right side
    2,280,467.25x = 24,580,424,118,758.77
  5. Step 5: Solve for x
    x = 24,580,424,118,758.77/2,280,467.25
  6. Step 6: Final answer
    x = 10,778,678.85

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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.