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Finding the Third Proportional to 472,142 and 1,023,036

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Solution

The third proportional to 472,142 and 1,023,036 is: 2,216,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,142 : 1,023,036 = 1,023,036 : x
  2. Step 2: Convert to fraction form
    472,142/1,023,036 = 1,023,036/x
  3. Step 3: Cross multiply
    472,142x = 1,023,036 × 1,023,036
  4. Step 4: Simplify right side
    472,142x = 1,046,602,657,296
  5. Step 5: Solve for x
    x = 1,046,602,657,296/472,142
  6. Step 6: Final answer
    x = 2,216,711.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.