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Finding the Third Proportional to 462,314 and 1,012,756

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Solution

The third proportional to 462,314 and 1,012,756 is: 2,218,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,314 : 1,012,756 = 1,012,756 : x
  2. Step 2: Convert to fraction form
    462,314/1,012,756 = 1,012,756/x
  3. Step 3: Cross multiply
    462,314x = 1,012,756 × 1,012,756
  4. Step 4: Simplify right side
    462,314x = 1,025,674,715,536
  5. Step 5: Solve for x
    x = 1,025,674,715,536/462,314
  6. Step 6: Final answer
    x = 2,218,567.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.