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Finding the Third Proportional to 775,116 and 1,132,002

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Solution

The third proportional to 775,116 and 1,132,002 is: 1,653,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,116 : 1,132,002 = 1,132,002 : x
  2. Step 2: Convert to fraction form
    775,116/1,132,002 = 1,132,002/x
  3. Step 3: Cross multiply
    775,116x = 1,132,002 × 1,132,002
  4. Step 4: Simplify right side
    775,116x = 1,281,428,528,004
  5. Step 5: Solve for x
    x = 1,281,428,528,004/775,116
  6. Step 6: Final answer
    x = 1,653,208.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.