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Finding the Third Proportional to 576,765 and 1,262,083

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Solution

The third proportional to 576,765 and 1,262,083 is: 2,761,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,765 : 1,262,083 = 1,262,083 : x
  2. Step 2: Convert to fraction form
    576,765/1,262,083 = 1,262,083/x
  3. Step 3: Cross multiply
    576,765x = 1,262,083 × 1,262,083
  4. Step 4: Simplify right side
    576,765x = 1,592,853,498,889
  5. Step 5: Solve for x
    x = 1,592,853,498,889/576,765
  6. Step 6: Final answer
    x = 2,761,702.77

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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.