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Finding the Third Proportional to 653,796 and 1,385,493.75

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Solution

The third proportional to 653,796 and 1,385,493.75 is: 2,936,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,796 : 1,385,493.75 = 1,385,493.75 : x
  2. Step 2: Convert to fraction form
    653,796/1,385,493.75 = 1,385,493.75/x
  3. Step 3: Cross multiply
    653,796x = 1,385,493.75 × 1,385,493.75
  4. Step 4: Simplify right side
    653,796x = 1,919,592,931,289.06
  5. Step 5: Solve for x
    x = 1,919,592,931,289.06/653,796
  6. Step 6: Final answer
    x = 2,936,073.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.