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Finding the Third Proportional to 593,220 and 1,270,510

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Solution

The third proportional to 593,220 and 1,270,510 is: 2,721,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,220 : 1,270,510 = 1,270,510 : x
  2. Step 2: Convert to fraction form
    593,220/1,270,510 = 1,270,510/x
  3. Step 3: Cross multiply
    593,220x = 1,270,510 × 1,270,510
  4. Step 4: Simplify right side
    593,220x = 1,614,195,660,100
  5. Step 5: Solve for x
    x = 1,614,195,660,100/593,220
  6. Step 6: Final answer
    x = 2,721,074.24

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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.