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Finding the Third Proportional to 750,114 and 1,641,006

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Solution

The third proportional to 750,114 and 1,641,006 is: 3,589,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,114 : 1,641,006 = 1,641,006 : x
  2. Step 2: Convert to fraction form
    750,114/1,641,006 = 1,641,006/x
  3. Step 3: Cross multiply
    750,114x = 1,641,006 × 1,641,006
  4. Step 4: Simplify right side
    750,114x = 2,692,900,692,036
  5. Step 5: Solve for x
    x = 2,692,900,692,036/750,114
  6. Step 6: Final answer
    x = 3,589,988.58

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