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Finding the Third Proportional to 649,761 and 1,046,826

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Solution

The third proportional to 649,761 and 1,046,826 is: 1,686,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,761 : 1,046,826 = 1,046,826 : x
  2. Step 2: Convert to fraction form
    649,761/1,046,826 = 1,046,826/x
  3. Step 3: Cross multiply
    649,761x = 1,046,826 × 1,046,826
  4. Step 4: Simplify right side
    649,761x = 1,095,844,674,276
  5. Step 5: Solve for x
    x = 1,095,844,674,276/649,761
  6. Step 6: Final answer
    x = 1,686,535.01

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.