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Finding the Third Proportional to 593,226 and 1,270,522

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Solution

The third proportional to 593,226 and 1,270,522 is: 2,721,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,226 : 1,270,522 = 1,270,522 : x
  2. Step 2: Convert to fraction form
    593,226/1,270,522 = 1,270,522/x
  3. Step 3: Cross multiply
    593,226x = 1,270,522 × 1,270,522
  4. Step 4: Simplify right side
    593,226x = 1,614,226,152,484
  5. Step 5: Solve for x
    x = 1,614,226,152,484/593,226
  6. Step 6: Final answer
    x = 2,721,098.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.