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Finding the Third Proportional to 703,981 and 1,440,766

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Solution

The third proportional to 703,981 and 1,440,766 is: 2,948,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,981 : 1,440,766 = 1,440,766 : x
  2. Step 2: Convert to fraction form
    703,981/1,440,766 = 1,440,766/x
  3. Step 3: Cross multiply
    703,981x = 1,440,766 × 1,440,766
  4. Step 4: Simplify right side
    703,981x = 2,075,806,666,756
  5. Step 5: Solve for x
    x = 2,075,806,666,756/703,981
  6. Step 6: Final answer
    x = 2,948,668.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.