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Finding the Third Proportional to 499,468 and 1,083,135

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Solution

The third proportional to 499,468 and 1,083,135 is: 2,348,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,468 : 1,083,135 = 1,083,135 : x
  2. Step 2: Convert to fraction form
    499,468/1,083,135 = 1,083,135/x
  3. Step 3: Cross multiply
    499,468x = 1,083,135 × 1,083,135
  4. Step 4: Simplify right side
    499,468x = 1,173,181,428,225
  5. Step 5: Solve for x
    x = 1,173,181,428,225/499,468
  6. Step 6: Final answer
    x = 2,348,862.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.