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Finding the Third Proportional to 501,219 and 1,080,681

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Solution

The third proportional to 501,219 and 1,080,681 is: 2,330,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,219 : 1,080,681 = 1,080,681 : x
  2. Step 2: Convert to fraction form
    501,219/1,080,681 = 1,080,681/x
  3. Step 3: Cross multiply
    501,219x = 1,080,681 × 1,080,681
  4. Step 4: Simplify right side
    501,219x = 1,167,871,423,761
  5. Step 5: Solve for x
    x = 1,167,871,423,761/501,219
  6. Step 6: Final answer
    x = 2,330,062.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.