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Finding the Third Proportional to 565,792 and 1,232,576

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Solution

The third proportional to 565,792 and 1,232,576 is: 2,685,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,792 : 1,232,576 = 1,232,576 : x
  2. Step 2: Convert to fraction form
    565,792/1,232,576 = 1,232,576/x
  3. Step 3: Cross multiply
    565,792x = 1,232,576 × 1,232,576
  4. Step 4: Simplify right side
    565,792x = 1,519,243,595,776
  5. Step 5: Solve for x
    x = 1,519,243,595,776/565,792
  6. Step 6: Final answer
    x = 2,685,162.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.