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Finding the Third Proportional to 596,596 and 1,162,952

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Solution

The third proportional to 596,596 and 1,162,952 is: 2,266,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,596 : 1,162,952 = 1,162,952 : x
  2. Step 2: Convert to fraction form
    596,596/1,162,952 = 1,162,952/x
  3. Step 3: Cross multiply
    596,596x = 1,162,952 × 1,162,952
  4. Step 4: Simplify right side
    596,596x = 1,352,457,354,304
  5. Step 5: Solve for x
    x = 1,352,457,354,304/596,596
  6. Step 6: Final answer
    x = 2,266,956.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.