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Finding the Third Proportional to 946,968 and 1,275,864

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Solution

The third proportional to 946,968 and 1,275,864 is: 1,718,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,968 : 1,275,864 = 1,275,864 : x
  2. Step 2: Convert to fraction form
    946,968/1,275,864 = 1,275,864/x
  3. Step 3: Cross multiply
    946,968x = 1,275,864 × 1,275,864
  4. Step 4: Simplify right side
    946,968x = 1,627,828,946,496
  5. Step 5: Solve for x
    x = 1,627,828,946,496/946,968
  6. Step 6: Final answer
    x = 1,718,990.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.