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Finding the Third Proportional to 566,813 and 1,197,609

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Solution

The third proportional to 566,813 and 1,197,609 is: 2,530,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,813 : 1,197,609 = 1,197,609 : x
  2. Step 2: Convert to fraction form
    566,813/1,197,609 = 1,197,609/x
  3. Step 3: Cross multiply
    566,813x = 1,197,609 × 1,197,609
  4. Step 4: Simplify right side
    566,813x = 1,434,267,316,881
  5. Step 5: Solve for x
    x = 1,434,267,316,881/566,813
  6. Step 6: Final answer
    x = 2,530,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.