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Finding the Third Proportional to 514,584 and 1,102,992

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Solution

The third proportional to 514,584 and 1,102,992 is: 2,364,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,584 : 1,102,992 = 1,102,992 : x
  2. Step 2: Convert to fraction form
    514,584/1,102,992 = 1,102,992/x
  3. Step 3: Cross multiply
    514,584x = 1,102,992 × 1,102,992
  4. Step 4: Simplify right side
    514,584x = 1,216,591,352,064
  5. Step 5: Solve for x
    x = 1,216,591,352,064/514,584
  6. Step 6: Final answer
    x = 2,364,223.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.