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Finding the Third Proportional to 593,908 and 956,228

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Solution

The third proportional to 593,908 and 956,228 is: 1,539,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,908 : 956,228 = 956,228 : x
  2. Step 2: Convert to fraction form
    593,908/956,228 = 956,228/x
  3. Step 3: Cross multiply
    593,908x = 956,228 × 956,228
  4. Step 4: Simplify right side
    593,908x = 914,371,987,984
  5. Step 5: Solve for x
    x = 914,371,987,984/593,908
  6. Step 6: Final answer
    x = 1,539,585.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.