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Finding the Third Proportional to 786,076 and 1,684,292

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Solution

The third proportional to 786,076 and 1,684,292 is: 3,608,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,076 : 1,684,292 = 1,684,292 : x
  2. Step 2: Convert to fraction form
    786,076/1,684,292 = 1,684,292/x
  3. Step 3: Cross multiply
    786,076x = 1,684,292 × 1,684,292
  4. Step 4: Simplify right side
    786,076x = 2,836,839,541,264
  5. Step 5: Solve for x
    x = 2,836,839,541,264/786,076
  6. Step 6: Final answer
    x = 3,608,861.66

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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.