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Finding the Third Proportional to 1,065,640 and 2,282,900

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Solution

The third proportional to 1,065,640 and 2,282,900 is: 4,890,612.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,640 : 2,282,900 = 2,282,900 : x
  2. Step 2: Convert to fraction form
    1,065,640/2,282,900 = 2,282,900/x
  3. Step 3: Cross multiply
    1,065,640x = 2,282,900 × 2,282,900
  4. Step 4: Simplify right side
    1,065,640x = 5,211,632,410,000
  5. Step 5: Solve for x
    x = 5,211,632,410,000/1,065,640
  6. Step 6: Final answer
    x = 4,890,612.60

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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.