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Finding the Third Proportional to 630,049 and 1,010,677

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Solution

The third proportional to 630,049 and 1,010,677 is: 1,621,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,049 : 1,010,677 = 1,010,677 : x
  2. Step 2: Convert to fraction form
    630,049/1,010,677 = 1,010,677/x
  3. Step 3: Cross multiply
    630,049x = 1,010,677 × 1,010,677
  4. Step 4: Simplify right side
    630,049x = 1,021,467,998,329
  5. Step 5: Solve for x
    x = 1,021,467,998,329/630,049
  6. Step 6: Final answer
    x = 1,621,251.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.