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Finding the Third Proportional to 582,602 and 787,140

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Solution

The third proportional to 582,602 and 787,140 is: 1,063,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,602 : 787,140 = 787,140 : x
  2. Step 2: Convert to fraction form
    582,602/787,140 = 787,140/x
  3. Step 3: Cross multiply
    582,602x = 787,140 × 787,140
  4. Step 4: Simplify right side
    582,602x = 619,589,379,600
  5. Step 5: Solve for x
    x = 619,589,379,600/582,602
  6. Step 6: Final answer
    x = 1,063,486.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.