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Finding the Third Proportional to 1,615,466 and 2,534,410

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Solution

The third proportional to 1,615,466 and 2,534,410 is: 3,976,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,466 : 2,534,410 = 2,534,410 : x
  2. Step 2: Convert to fraction form
    1,615,466/2,534,410 = 2,534,410/x
  3. Step 3: Cross multiply
    1,615,466x = 2,534,410 × 2,534,410
  4. Step 4: Simplify right side
    1,615,466x = 6,423,234,048,100
  5. Step 5: Solve for x
    x = 6,423,234,048,100/1,615,466
  6. Step 6: Final answer
    x = 3,976,087.42

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.