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Finding the Third Proportional to 474,073 and 1,033,358

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Solution

The third proportional to 474,073 and 1,033,358 is: 2,252,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,073 : 1,033,358 = 1,033,358 : x
  2. Step 2: Convert to fraction form
    474,073/1,033,358 = 1,033,358/x
  3. Step 3: Cross multiply
    474,073x = 1,033,358 × 1,033,358
  4. Step 4: Simplify right side
    474,073x = 1,067,828,756,164
  5. Step 5: Solve for x
    x = 1,067,828,756,164/474,073
  6. Step 6: Final answer
    x = 2,252,456.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.