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Finding the Third Proportional to 442,846 and 917,188

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Solution

The third proportional to 442,846 and 917,188 is: 1,899,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,846 : 917,188 = 917,188 : x
  2. Step 2: Convert to fraction form
    442,846/917,188 = 917,188/x
  3. Step 3: Cross multiply
    442,846x = 917,188 × 917,188
  4. Step 4: Simplify right side
    442,846x = 841,233,827,344
  5. Step 5: Solve for x
    x = 841,233,827,344/442,846
  6. Step 6: Final answer
    x = 1,899,608.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.