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Finding the Third Proportional to 583,768 and 1,267,176

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Solution

The third proportional to 583,768 and 1,267,176 is: 2,750,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,768 : 1,267,176 = 1,267,176 : x
  2. Step 2: Convert to fraction form
    583,768/1,267,176 = 1,267,176/x
  3. Step 3: Cross multiply
    583,768x = 1,267,176 × 1,267,176
  4. Step 4: Simplify right side
    583,768x = 1,605,735,014,976
  5. Step 5: Solve for x
    x = 1,605,735,014,976/583,768
  6. Step 6: Final answer
    x = 2,750,638.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.