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Finding the Third Proportional to 846,072 and 1,310,694

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Solution

The third proportional to 846,072 and 1,310,694 is: 2,030,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,072 : 1,310,694 = 1,310,694 : x
  2. Step 2: Convert to fraction form
    846,072/1,310,694 = 1,310,694/x
  3. Step 3: Cross multiply
    846,072x = 1,310,694 × 1,310,694
  4. Step 4: Simplify right side
    846,072x = 1,717,918,761,636
  5. Step 5: Solve for x
    x = 1,717,918,761,636/846,072
  6. Step 6: Final answer
    x = 2,030,464.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.