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Finding the Third Proportional to 1,294,919 and 2,031,350

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Solution

The third proportional to 1,294,919 and 2,031,350 is: 3,186,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,919 : 2,031,350 = 2,031,350 : x
  2. Step 2: Convert to fraction form
    1,294,919/2,031,350 = 2,031,350/x
  3. Step 3: Cross multiply
    1,294,919x = 2,031,350 × 2,031,350
  4. Step 4: Simplify right side
    1,294,919x = 4,126,382,822,500
  5. Step 5: Solve for x
    x = 4,126,382,822,500/1,294,919
  6. Step 6: Final answer
    x = 3,186,595.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.