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Finding the Third Proportional to 1,086,127.50 and 1,428,260

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Solution

The third proportional to 1,086,127.50 and 1,428,260 is: 1,878,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,127.50 : 1,428,260 = 1,428,260 : x
  2. Step 2: Convert to fraction form
    1,086,127.50/1,428,260 = 1,428,260/x
  3. Step 3: Cross multiply
    1,086,127.50x = 1,428,260 × 1,428,260
  4. Step 4: Simplify right side
    1,086,127.50x = 2,039,926,627,600
  5. Step 5: Solve for x
    x = 2,039,926,627,600/1,086,127.50
  6. Step 6: Final answer
    x = 1,878,164.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.