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Finding the Third Proportional to 442,436 and 942,784

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Solution

The third proportional to 442,436 and 942,784 is: 2,008,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,436 : 942,784 = 942,784 : x
  2. Step 2: Convert to fraction form
    442,436/942,784 = 942,784/x
  3. Step 3: Cross multiply
    442,436x = 942,784 × 942,784
  4. Step 4: Simplify right side
    442,436x = 888,841,670,656
  5. Step 5: Solve for x
    x = 888,841,670,656/442,436
  6. Step 6: Final answer
    x = 2,008,972.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.