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Finding the Third Proportional to 474,065 and 1,033,342

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Solution

The third proportional to 474,065 and 1,033,342 is: 2,252,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,065 : 1,033,342 = 1,033,342 : x
  2. Step 2: Convert to fraction form
    474,065/1,033,342 = 1,033,342/x
  3. Step 3: Cross multiply
    474,065x = 1,033,342 × 1,033,342
  4. Step 4: Simplify right side
    474,065x = 1,067,795,688,964
  5. Step 5: Solve for x
    x = 1,067,795,688,964/474,065
  6. Step 6: Final answer
    x = 2,252,424.64

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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.