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Finding the Third Proportional to 1,277,487 and 2,781,774

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Solution

The third proportional to 1,277,487 and 2,781,774 is: 6,057,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,487 : 2,781,774 = 2,781,774 : x
  2. Step 2: Convert to fraction form
    1,277,487/2,781,774 = 2,781,774/x
  3. Step 3: Cross multiply
    1,277,487x = 2,781,774 × 2,781,774
  4. Step 4: Simplify right side
    1,277,487x = 7,738,266,587,076
  5. Step 5: Solve for x
    x = 7,738,266,587,076/1,277,487
  6. Step 6: Final answer
    x = 6,057,413.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.