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Finding the Third Proportional to 2,269,487.50 and 4,917,209

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Solution

The third proportional to 2,269,487.50 and 4,917,209 is: 10,653,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269,487.50 : 4,917,209 = 4,917,209 : x
  2. Step 2: Convert to fraction form
    2,269,487.50/4,917,209 = 4,917,209/x
  3. Step 3: Cross multiply
    2,269,487.50x = 4,917,209 × 4,917,209
  4. Step 4: Simplify right side
    2,269,487.50x = 24,178,944,349,681
  5. Step 5: Solve for x
    x = 24,178,944,349,681/2,269,487.50
  6. Step 6: Final answer
    x = 10,653,922.68

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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.