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Finding the Third Proportional to 3,144,540 and 4,746,696

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Solution

The third proportional to 3,144,540 and 4,746,696 is: 7,165,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,540 : 4,746,696 = 4,746,696 : x
  2. Step 2: Convert to fraction form
    3,144,540/4,746,696 = 4,746,696/x
  3. Step 3: Cross multiply
    3,144,540x = 4,746,696 × 4,746,696
  4. Step 4: Simplify right side
    3,144,540x = 22,531,122,916,416
  5. Step 5: Solve for x
    x = 22,531,122,916,416/3,144,540
  6. Step 6: Final answer
    x = 7,165,157.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.