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Finding the Third Proportional to 1,086,258.77 and 1,643,370.32

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Solution

The third proportional to 1,086,258.77 and 1,643,370.32 is: 2,486,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,258.77 : 1,643,370.32 = 1,643,370.32 : x
  2. Step 2: Convert to fraction form
    1,086,258.77/1,643,370.32 = 1,643,370.32/x
  3. Step 3: Cross multiply
    1,086,258.77x = 1,643,370.32 × 1,643,370.32
  4. Step 4: Simplify right side
    1,086,258.77x = 2,700,666,006,474.18
  5. Step 5: Solve for x
    x = 2,700,666,006,474.18/1,086,258.77
  6. Step 6: Final answer
    x = 2,486,208.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.