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Finding the Third Proportional to 2,814,746 and 6,134,689

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Solution

The third proportional to 2,814,746 and 6,134,689 is: 13,370,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,746 : 6,134,689 = 6,134,689 : x
  2. Step 2: Convert to fraction form
    2,814,746/6,134,689 = 6,134,689/x
  3. Step 3: Cross multiply
    2,814,746x = 6,134,689 × 6,134,689
  4. Step 4: Simplify right side
    2,814,746x = 37,634,409,126,721
  5. Step 5: Solve for x
    x = 37,634,409,126,721/2,814,746
  6. Step 6: Final answer
    x = 13,370,445.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.