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Finding the Third Proportional to 1,065,314 and 2,282,260

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Solution

The third proportional to 1,065,314 and 2,282,260 is: 4,889,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,314 : 2,282,260 = 2,282,260 : x
  2. Step 2: Convert to fraction form
    1,065,314/2,282,260 = 2,282,260/x
  3. Step 3: Cross multiply
    1,065,314x = 2,282,260 × 2,282,260
  4. Step 4: Simplify right side
    1,065,314x = 5,208,710,707,600
  5. Step 5: Solve for x
    x = 5,208,710,707,600/1,065,314
  6. Step 6: Final answer
    x = 4,889,366.62

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Why These Related Problems?

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