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Finding the Third Proportional to 474,660 and 1,023,536.25

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Solution

The third proportional to 474,660 and 1,023,536.25 is: 2,207,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,660 : 1,023,536.25 = 1,023,536.25 : x
  2. Step 2: Convert to fraction form
    474,660/1,023,536.25 = 1,023,536.25/x
  3. Step 3: Cross multiply
    474,660x = 1,023,536.25 × 1,023,536.25
  4. Step 4: Simplify right side
    474,660x = 1,047,626,455,064.06
  5. Step 5: Solve for x
    x = 1,047,626,455,064.06/474,660
  6. Step 6: Final answer
    x = 2,207,109.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.