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Finding the Third Proportional to 465,963.89 and 1,020,860.09

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Solution

The third proportional to 465,963.89 and 1,020,860.09 is: 2,236,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,963.89 : 1,020,860.09 = 1,020,860.09 : x
  2. Step 2: Convert to fraction form
    465,963.89/1,020,860.09 = 1,020,860.09/x
  3. Step 3: Cross multiply
    465,963.89x = 1,020,860.09 × 1,020,860.09
  4. Step 4: Simplify right side
    465,963.89x = 1,042,155,315,060.32
  5. Step 5: Solve for x
    x = 1,042,155,315,060.32/465,963.89
  6. Step 6: Final answer
    x = 2,236,558.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.