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Finding the Third Proportional to 563,061 and 1,214,694

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Solution

The third proportional to 563,061 and 1,214,694 is: 2,620,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,061 : 1,214,694 = 1,214,694 : x
  2. Step 2: Convert to fraction form
    563,061/1,214,694 = 1,214,694/x
  3. Step 3: Cross multiply
    563,061x = 1,214,694 × 1,214,694
  4. Step 4: Simplify right side
    563,061x = 1,475,481,513,636
  5. Step 5: Solve for x
    x = 1,475,481,513,636/563,061
  6. Step 6: Final answer
    x = 2,620,464.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.