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Finding the Third Proportional to 474,023 and 1,036,726

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Solution

The third proportional to 474,023 and 1,036,726 is: 2,267,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,023 : 1,036,726 = 1,036,726 : x
  2. Step 2: Convert to fraction form
    474,023/1,036,726 = 1,036,726/x
  3. Step 3: Cross multiply
    474,023x = 1,036,726 × 1,036,726
  4. Step 4: Simplify right side
    474,023x = 1,074,800,799,076
  5. Step 5: Solve for x
    x = 1,074,800,799,076/474,023
  6. Step 6: Final answer
    x = 2,267,402.21

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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.