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Finding the Third Proportional to 1,046,117 and 1,616,493

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Solution

The third proportional to 1,046,117 and 1,616,493 is: 2,497,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,117 : 1,616,493 = 1,616,493 : x
  2. Step 2: Convert to fraction form
    1,046,117/1,616,493 = 1,616,493/x
  3. Step 3: Cross multiply
    1,046,117x = 1,616,493 × 1,616,493
  4. Step 4: Simplify right side
    1,046,117x = 2,613,049,619,049
  5. Step 5: Solve for x
    x = 2,613,049,619,049/1,046,117
  6. Step 6: Final answer
    x = 2,497,855.99

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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.