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Finding the Third Proportional to 931,864 and 1,275,180

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Solution

The third proportional to 931,864 and 1,275,180 is: 1,744,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,864 : 1,275,180 = 1,275,180 : x
  2. Step 2: Convert to fraction form
    931,864/1,275,180 = 1,275,180/x
  3. Step 3: Cross multiply
    931,864x = 1,275,180 × 1,275,180
  4. Step 4: Simplify right side
    931,864x = 1,626,084,032,400
  5. Step 5: Solve for x
    x = 1,626,084,032,400/931,864
  6. Step 6: Final answer
    x = 1,744,979.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.