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Finding the Third Proportional to 786,060 and 1,684,260

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Solution

The third proportional to 786,060 and 1,684,260 is: 3,608,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,060 : 1,684,260 = 1,684,260 : x
  2. Step 2: Convert to fraction form
    786,060/1,684,260 = 1,684,260/x
  3. Step 3: Cross multiply
    786,060x = 1,684,260 × 1,684,260
  4. Step 4: Simplify right side
    786,060x = 2,836,731,747,600
  5. Step 5: Solve for x
    x = 2,836,731,747,600/786,060
  6. Step 6: Final answer
    x = 3,608,797.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.