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Finding the Third Proportional to 2,514,510 and 5,430,780

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Solution

The third proportional to 2,514,510 and 5,430,780 is: 11,729,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,510 : 5,430,780 = 5,430,780 : x
  2. Step 2: Convert to fraction form
    2,514,510/5,430,780 = 5,430,780/x
  3. Step 3: Cross multiply
    2,514,510x = 5,430,780 × 5,430,780
  4. Step 4: Simplify right side
    2,514,510x = 29,493,371,408,400
  5. Step 5: Solve for x
    x = 29,493,371,408,400/2,514,510
  6. Step 6: Final answer
    x = 11,729,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.