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Finding the Third Proportional to 583,120 and 1,262,960

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Solution

The third proportional to 583,120 and 1,262,960 is: 2,735,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,120 : 1,262,960 = 1,262,960 : x
  2. Step 2: Convert to fraction form
    583,120/1,262,960 = 1,262,960/x
  3. Step 3: Cross multiply
    583,120x = 1,262,960 × 1,262,960
  4. Step 4: Simplify right side
    583,120x = 1,595,067,961,600
  5. Step 5: Solve for x
    x = 1,595,067,961,600/583,120
  6. Step 6: Final answer
    x = 2,735,402.60

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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.