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Finding the Third Proportional to 2,707,748 and 5,946,970

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Solution

The third proportional to 2,707,748 and 5,946,970 is: 13,061,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,748 : 5,946,970 = 5,946,970 : x
  2. Step 2: Convert to fraction form
    2,707,748/5,946,970 = 5,946,970/x
  3. Step 3: Cross multiply
    2,707,748x = 5,946,970 × 5,946,970
  4. Step 4: Simplify right side
    2,707,748x = 35,366,452,180,900
  5. Step 5: Solve for x
    x = 35,366,452,180,900/2,707,748
  6. Step 6: Final answer
    x = 13,061,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.