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Finding the Third Proportional to 788,554 and 1,684,135

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Solution

The third proportional to 788,554 and 1,684,135 is: 3,596,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,554 : 1,684,135 = 1,684,135 : x
  2. Step 2: Convert to fraction form
    788,554/1,684,135 = 1,684,135/x
  3. Step 3: Cross multiply
    788,554x = 1,684,135 × 1,684,135
  4. Step 4: Simplify right side
    788,554x = 2,836,310,698,225
  5. Step 5: Solve for x
    x = 2,836,310,698,225/788,554
  6. Step 6: Final answer
    x = 3,596,850.31

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Why These Related Problems?

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