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Finding the Third Proportional to 598,080 and 1,306,240

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Solution

The third proportional to 598,080 and 1,306,240 is: 2,852,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,080 : 1,306,240 = 1,306,240 : x
  2. Step 2: Convert to fraction form
    598,080/1,306,240 = 1,306,240/x
  3. Step 3: Cross multiply
    598,080x = 1,306,240 × 1,306,240
  4. Step 4: Simplify right side
    598,080x = 1,706,262,937,600
  5. Step 5: Solve for x
    x = 1,706,262,937,600/598,080
  6. Step 6: Final answer
    x = 2,852,900.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.