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Finding the Third Proportional to 870,876 and 1,280,703.75

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Solution

The third proportional to 870,876 and 1,280,703.75 is: 1,883,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,876 : 1,280,703.75 = 1,280,703.75 : x
  2. Step 2: Convert to fraction form
    870,876/1,280,703.75 = 1,280,703.75/x
  3. Step 3: Cross multiply
    870,876x = 1,280,703.75 × 1,280,703.75
  4. Step 4: Simplify right side
    870,876x = 1,640,202,095,264.06
  5. Step 5: Solve for x
    x = 1,640,202,095,264.06/870,876
  6. Step 6: Final answer
    x = 1,883,393.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.