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Finding the Third Proportional to 3,737,916 and 5,680,746

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Solution

The third proportional to 3,737,916 and 5,680,746 is: 8,633,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737,916 : 5,680,746 = 5,680,746 : x
  2. Step 2: Convert to fraction form
    3,737,916/5,680,746 = 5,680,746/x
  3. Step 3: Cross multiply
    3,737,916x = 5,680,746 × 5,680,746
  4. Step 4: Simplify right side
    3,737,916x = 32,270,875,116,516
  5. Step 5: Solve for x
    x = 32,270,875,116,516/3,737,916
  6. Step 6: Final answer
    x = 8,633,386.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.