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Finding the Third Proportional to 2,366,466 and 5,180,724

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Solution

The third proportional to 2,366,466 and 5,180,724 is: 11,341,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,466 : 5,180,724 = 5,180,724 : x
  2. Step 2: Convert to fraction form
    2,366,466/5,180,724 = 5,180,724/x
  3. Step 3: Cross multiply
    2,366,466x = 5,180,724 × 5,180,724
  4. Step 4: Simplify right side
    2,366,466x = 26,839,901,164,176
  5. Step 5: Solve for x
    x = 26,839,901,164,176/2,366,466
  6. Step 6: Final answer
    x = 11,341,764.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.