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Finding the Third Proportional to 474,590 and 988,548

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Solution

The third proportional to 474,590 and 988,548 is: 2,059,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,590 : 988,548 = 988,548 : x
  2. Step 2: Convert to fraction form
    474,590/988,548 = 988,548/x
  3. Step 3: Cross multiply
    474,590x = 988,548 × 988,548
  4. Step 4: Simplify right side
    474,590x = 977,227,148,304
  5. Step 5: Solve for x
    x = 977,227,148,304/474,590
  6. Step 6: Final answer
    x = 2,059,097.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.