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Finding the Third Proportional to 593,300 and 1,228,654

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Solution

The third proportional to 593,300 and 1,228,654 is: 2,544,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,300 : 1,228,654 = 1,228,654 : x
  2. Step 2: Convert to fraction form
    593,300/1,228,654 = 1,228,654/x
  3. Step 3: Cross multiply
    593,300x = 1,228,654 × 1,228,654
  4. Step 4: Simplify right side
    593,300x = 1,509,590,651,716
  5. Step 5: Solve for x
    x = 1,509,590,651,716/593,300
  6. Step 6: Final answer
    x = 2,544,396.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.