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Finding the Third Proportional to 2,005,354 and 3,106,659

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Solution

The third proportional to 2,005,354 and 3,106,659 is: 4,812,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,354 : 3,106,659 = 3,106,659 : x
  2. Step 2: Convert to fraction form
    2,005,354/3,106,659 = 3,106,659/x
  3. Step 3: Cross multiply
    2,005,354x = 3,106,659 × 3,106,659
  4. Step 4: Simplify right side
    2,005,354x = 9,651,330,142,281
  5. Step 5: Solve for x
    x = 9,651,330,142,281/2,005,354
  6. Step 6: Final answer
    x = 4,812,781.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.