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Finding the Third Proportional to 2,784,114 and 6,079,572

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Solution

The third proportional to 2,784,114 and 6,079,572 is: 13,275,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,114 : 6,079,572 = 6,079,572 : x
  2. Step 2: Convert to fraction form
    2,784,114/6,079,572 = 6,079,572/x
  3. Step 3: Cross multiply
    2,784,114x = 6,079,572 × 6,079,572
  4. Step 4: Simplify right side
    2,784,114x = 36,961,195,703,184
  5. Step 5: Solve for x
    x = 36,961,195,703,184/2,784,114
  6. Step 6: Final answer
    x = 13,275,747.94

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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.