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Finding the Third Proportional to 685,930.88 and 1,018,947.75

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Solution

The third proportional to 685,930.88 and 1,018,947.75 is: 1,513,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,930.88 : 1,018,947.75 = 1,018,947.75 : x
  2. Step 2: Convert to fraction form
    685,930.88/1,018,947.75 = 1,018,947.75/x
  3. Step 3: Cross multiply
    685,930.88x = 1,018,947.75 × 1,018,947.75
  4. Step 4: Simplify right side
    685,930.88x = 1,038,254,517,230.06
  5. Step 5: Solve for x
    x = 1,038,254,517,230.06/685,930.88
  6. Step 6: Final answer
    x = 1,513,643.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.