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Finding the Third Proportional to 2,280,480 and 4,957,891

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Solution

The third proportional to 2,280,480 and 4,957,891 is: 10,778,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280,480 : 4,957,891 = 4,957,891 : x
  2. Step 2: Convert to fraction form
    2,280,480/4,957,891 = 4,957,891/x
  3. Step 3: Cross multiply
    2,280,480x = 4,957,891 × 4,957,891
  4. Step 4: Simplify right side
    2,280,480x = 24,580,683,167,881
  5. Step 5: Solve for x
    x = 24,580,683,167,881/2,280,480
  6. Step 6: Final answer
    x = 10,778,732.18

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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.