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Finding the Third Proportional to 566,497 and 1,232,898

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Solution

The third proportional to 566,497 and 1,232,898 is: 2,683,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,497 : 1,232,898 = 1,232,898 : x
  2. Step 2: Convert to fraction form
    566,497/1,232,898 = 1,232,898/x
  3. Step 3: Cross multiply
    566,497x = 1,232,898 × 1,232,898
  4. Step 4: Simplify right side
    566,497x = 1,520,037,478,404
  5. Step 5: Solve for x
    x = 1,520,037,478,404/566,497
  6. Step 6: Final answer
    x = 2,683,222.47

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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.