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Finding the Third Proportional to 611,362 and 1,438,510

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Solution

The third proportional to 611,362 and 1,438,510 is: 3,384,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,362 : 1,438,510 = 1,438,510 : x
  2. Step 2: Convert to fraction form
    611,362/1,438,510 = 1,438,510/x
  3. Step 3: Cross multiply
    611,362x = 1,438,510 × 1,438,510
  4. Step 4: Simplify right side
    611,362x = 2,069,311,020,100
  5. Step 5: Solve for x
    x = 2,069,311,020,100/611,362
  6. Step 6: Final answer
    x = 3,384,755.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.