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Finding the Third Proportional to 593,294 and 1,272,988

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Solution

The third proportional to 593,294 and 1,272,988 is: 2,731,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,294 : 1,272,988 = 1,272,988 : x
  2. Step 2: Convert to fraction form
    593,294/1,272,988 = 1,272,988/x
  3. Step 3: Cross multiply
    593,294x = 1,272,988 × 1,272,988
  4. Step 4: Simplify right side
    593,294x = 1,620,498,448,144
  5. Step 5: Solve for x
    x = 1,620,498,448,144/593,294
  6. Step 6: Final answer
    x = 2,731,358.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.