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Finding the Third Proportional to 620,947.69 and 1,281,570.19

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Solution

The third proportional to 620,947.69 and 1,281,570.19 is: 2,645,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,947.69 : 1,281,570.19 = 1,281,570.19 : x
  2. Step 2: Convert to fraction form
    620,947.69/1,281,570.19 = 1,281,570.19/x
  3. Step 3: Cross multiply
    620,947.69x = 1,281,570.19 × 1,281,570.19
  4. Step 4: Simplify right side
    620,947.69x = 1,642,422,145,488.79
  5. Step 5: Solve for x
    x = 1,642,422,145,488.79/620,947.69
  6. Step 6: Final answer
    x = 2,645,024.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.