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Finding the Third Proportional to 576,930 and 1,264,569

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Solution

The third proportional to 576,930 and 1,264,569 is: 2,771,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,930 : 1,264,569 = 1,264,569 : x
  2. Step 2: Convert to fraction form
    576,930/1,264,569 = 1,264,569/x
  3. Step 3: Cross multiply
    576,930x = 1,264,569 × 1,264,569
  4. Step 4: Simplify right side
    576,930x = 1,599,134,755,761
  5. Step 5: Solve for x
    x = 1,599,134,755,761/576,930
  6. Step 6: Final answer
    x = 2,771,800.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.