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Finding the Third Proportional to 2,385,997.50 and 3,613,746

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Solution

The third proportional to 2,385,997.50 and 3,613,746 is: 5,473,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385,997.50 : 3,613,746 = 3,613,746 : x
  2. Step 2: Convert to fraction form
    2,385,997.50/3,613,746 = 3,613,746/x
  3. Step 3: Cross multiply
    2,385,997.50x = 3,613,746 × 3,613,746
  4. Step 4: Simplify right side
    2,385,997.50x = 13,059,160,152,516
  5. Step 5: Solve for x
    x = 13,059,160,152,516/2,385,997.50
  6. Step 6: Final answer
    x = 5,473,249.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.