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Finding the Third Proportional to 462,213 and 1,012,662

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Solution

The third proportional to 462,213 and 1,012,662 is: 2,218,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,213 : 1,012,662 = 1,012,662 : x
  2. Step 2: Convert to fraction form
    462,213/1,012,662 = 1,012,662/x
  3. Step 3: Cross multiply
    462,213x = 1,012,662 × 1,012,662
  4. Step 4: Simplify right side
    462,213x = 1,025,484,326,244
  5. Step 5: Solve for x
    x = 1,025,484,326,244/462,213
  6. Step 6: Final answer
    x = 2,218,640.16

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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.