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Finding the Third Proportional to 716,775.75 and 1,084,345.88

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Solution

The third proportional to 716,775.75 and 1,084,345.88 is: 1,640,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,775.75 : 1,084,345.88 = 1,084,345.88 : x
  2. Step 2: Convert to fraction form
    716,775.75/1,084,345.88 = 1,084,345.88/x
  3. Step 3: Cross multiply
    716,775.75x = 1,084,345.88 × 1,084,345.88
  4. Step 4: Simplify right side
    716,775.75x = 1,175,805,976,629.52
  5. Step 5: Solve for x
    x = 1,175,805,976,629.52/716,775.75
  6. Step 6: Final answer
    x = 1,640,409.82

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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.