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Finding the Third Proportional to 583,770 and 1,267,180

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Solution

The third proportional to 583,770 and 1,267,180 is: 2,750,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,770 : 1,267,180 = 1,267,180 : x
  2. Step 2: Convert to fraction form
    583,770/1,267,180 = 1,267,180/x
  3. Step 3: Cross multiply
    583,770x = 1,267,180 × 1,267,180
  4. Step 4: Simplify right side
    583,770x = 1,605,745,152,400
  5. Step 5: Solve for x
    x = 1,605,745,152,400/583,770
  6. Step 6: Final answer
    x = 2,750,646.92

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