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Finding the Third Proportional to 437,768 and 942,496

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Solution

The third proportional to 437,768 and 942,496 is: 2,029,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,768 : 942,496 = 942,496 : x
  2. Step 2: Convert to fraction form
    437,768/942,496 = 942,496/x
  3. Step 3: Cross multiply
    437,768x = 942,496 × 942,496
  4. Step 4: Simplify right side
    437,768x = 888,298,710,016
  5. Step 5: Solve for x
    x = 888,298,710,016/437,768
  6. Step 6: Final answer
    x = 2,029,154.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.