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Finding the Third Proportional to 755,984 and 1,218,080

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Solution

The third proportional to 755,984 and 1,218,080 is: 1,962,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,984 : 1,218,080 = 1,218,080 : x
  2. Step 2: Convert to fraction form
    755,984/1,218,080 = 1,218,080/x
  3. Step 3: Cross multiply
    755,984x = 1,218,080 × 1,218,080
  4. Step 4: Simplify right side
    755,984x = 1,483,718,886,400
  5. Step 5: Solve for x
    x = 1,483,718,886,400/755,984
  6. Step 6: Final answer
    x = 1,962,632.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.