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Finding the Third Proportional to 1,140,670 and 1,766,013

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Solution

The third proportional to 1,140,670 and 1,766,013 is: 2,734,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,670 : 1,766,013 = 1,766,013 : x
  2. Step 2: Convert to fraction form
    1,140,670/1,766,013 = 1,766,013/x
  3. Step 3: Cross multiply
    1,140,670x = 1,766,013 × 1,766,013
  4. Step 4: Simplify right side
    1,140,670x = 3,118,801,916,169
  5. Step 5: Solve for x
    x = 3,118,801,916,169/1,140,670
  6. Step 6: Final answer
    x = 2,734,184.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.