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Finding the Third Proportional to 1,650,354 and 2,486,457

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Solution

The third proportional to 1,650,354 and 2,486,457 is: 3,746,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,354 : 2,486,457 = 2,486,457 : x
  2. Step 2: Convert to fraction form
    1,650,354/2,486,457 = 2,486,457/x
  3. Step 3: Cross multiply
    1,650,354x = 2,486,457 × 2,486,457
  4. Step 4: Simplify right side
    1,650,354x = 6,182,468,412,849
  5. Step 5: Solve for x
    x = 6,182,468,412,849/1,650,354
  6. Step 6: Final answer
    x = 3,746,146.83

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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.