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Finding the Third Proportional to 703,983 and 1,440,768

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Solution

The third proportional to 703,983 and 1,440,768 is: 2,948,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,983 : 1,440,768 = 1,440,768 : x
  2. Step 2: Convert to fraction form
    703,983/1,440,768 = 1,440,768/x
  3. Step 3: Cross multiply
    703,983x = 1,440,768 × 1,440,768
  4. Step 4: Simplify right side
    703,983x = 2,075,812,429,824
  5. Step 5: Solve for x
    x = 2,075,812,429,824/703,983
  6. Step 6: Final answer
    x = 2,948,668.41

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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.