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Finding the Third Proportional to 846,869 and 1,316,959.50

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Solution

The third proportional to 846,869 and 1,316,959.50 is: 2,047,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,869 : 1,316,959.50 = 1,316,959.50 : x
  2. Step 2: Convert to fraction form
    846,869/1,316,959.50 = 1,316,959.50/x
  3. Step 3: Cross multiply
    846,869x = 1,316,959.50 × 1,316,959.50
  4. Step 4: Simplify right side
    846,869x = 1,734,382,324,640.25
  5. Step 5: Solve for x
    x = 1,734,382,324,640.25/846,869
  6. Step 6: Final answer
    x = 2,047,993.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.