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Finding the Third Proportional to 474,376 and 1,041,042

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Solution

The third proportional to 474,376 and 1,041,042 is: 2,284,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,376 : 1,041,042 = 1,041,042 : x
  2. Step 2: Convert to fraction form
    474,376/1,041,042 = 1,041,042/x
  3. Step 3: Cross multiply
    474,376x = 1,041,042 × 1,041,042
  4. Step 4: Simplify right side
    474,376x = 1,083,768,445,764
  5. Step 5: Solve for x
    x = 1,083,768,445,764/474,376
  6. Step 6: Final answer
    x = 2,284,619.05

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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.