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Finding the Third Proportional to 462,210 and 1,012,656

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Solution

The third proportional to 462,210 and 1,012,656 is: 2,218,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,210 : 1,012,656 = 1,012,656 : x
  2. Step 2: Convert to fraction form
    462,210/1,012,656 = 1,012,656/x
  3. Step 3: Cross multiply
    462,210x = 1,012,656 × 1,012,656
  4. Step 4: Simplify right side
    462,210x = 1,025,472,174,336
  5. Step 5: Solve for x
    x = 1,025,472,174,336/462,210
  6. Step 6: Final answer
    x = 2,218,628.27

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