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Finding the Third Proportional to 1,580,049 and 3,501,750

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Solution

The third proportional to 1,580,049 and 3,501,750 is: 7,760,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,049 : 3,501,750 = 3,501,750 : x
  2. Step 2: Convert to fraction form
    1,580,049/3,501,750 = 3,501,750/x
  3. Step 3: Cross multiply
    1,580,049x = 3,501,750 × 3,501,750
  4. Step 4: Simplify right side
    1,580,049x = 12,262,253,062,500
  5. Step 5: Solve for x
    x = 12,262,253,062,500/1,580,049
  6. Step 6: Final answer
    x = 7,760,678.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.