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Finding the Third Proportional to 442,844 and 917,184

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Solution

The third proportional to 442,844 and 917,184 is: 1,899,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,844 : 917,184 = 917,184 : x
  2. Step 2: Convert to fraction form
    442,844/917,184 = 917,184/x
  3. Step 3: Cross multiply
    442,844x = 917,184 × 917,184
  4. Step 4: Simplify right side
    442,844x = 841,226,489,856
  5. Step 5: Solve for x
    x = 841,226,489,856/442,844
  6. Step 6: Final answer
    x = 1,899,600.06

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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.