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Finding the Third Proportional to 474,050 and 1,036,781

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Solution

The third proportional to 474,050 and 1,036,781 is: 2,267,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,050 : 1,036,781 = 1,036,781 : x
  2. Step 2: Convert to fraction form
    474,050/1,036,781 = 1,036,781/x
  3. Step 3: Cross multiply
    474,050x = 1,036,781 × 1,036,781
  4. Step 4: Simplify right side
    474,050x = 1,074,914,841,961
  5. Step 5: Solve for x
    x = 1,074,914,841,961/474,050
  6. Step 6: Final answer
    x = 2,267,513.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.