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Finding the Third Proportional to 2,746,498 and 4,021,427

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Solution

The third proportional to 2,746,498 and 4,021,427 is: 5,888,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,498 : 4,021,427 = 4,021,427 : x
  2. Step 2: Convert to fraction form
    2,746,498/4,021,427 = 4,021,427/x
  3. Step 3: Cross multiply
    2,746,498x = 4,021,427 × 4,021,427
  4. Step 4: Simplify right side
    2,746,498x = 16,171,875,116,329
  5. Step 5: Solve for x
    x = 16,171,875,116,329/2,746,498
  6. Step 6: Final answer
    x = 5,888,180.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.