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Finding the Third Proportional to 891,988 and 1,358,895

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Solution

The third proportional to 891,988 and 1,358,895 is: 2,070,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,988 : 1,358,895 = 1,358,895 : x
  2. Step 2: Convert to fraction form
    891,988/1,358,895 = 1,358,895/x
  3. Step 3: Cross multiply
    891,988x = 1,358,895 × 1,358,895
  4. Step 4: Simplify right side
    891,988x = 1,846,595,621,025
  5. Step 5: Solve for x
    x = 1,846,595,621,025/891,988
  6. Step 6: Final answer
    x = 2,070,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.