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Finding the Third Proportional to 835,506 and 1,783,764

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Solution

The third proportional to 835,506 and 1,783,764 is: 3,808,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,506 : 1,783,764 = 1,783,764 : x
  2. Step 2: Convert to fraction form
    835,506/1,783,764 = 1,783,764/x
  3. Step 3: Cross multiply
    835,506x = 1,783,764 × 1,783,764
  4. Step 4: Simplify right side
    835,506x = 3,181,814,007,696
  5. Step 5: Solve for x
    x = 3,181,814,007,696/835,506
  6. Step 6: Final answer
    x = 3,808,247.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.