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Finding the Third Proportional to 563,136 and 1,214,976

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Solution

The third proportional to 563,136 and 1,214,976 is: 2,621,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,136 : 1,214,976 = 1,214,976 : x
  2. Step 2: Convert to fraction form
    563,136/1,214,976 = 1,214,976/x
  3. Step 3: Cross multiply
    563,136x = 1,214,976 × 1,214,976
  4. Step 4: Simplify right side
    563,136x = 1,476,166,680,576
  5. Step 5: Solve for x
    x = 1,476,166,680,576/563,136
  6. Step 6: Final answer
    x = 2,621,332.47

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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.