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Finding the Third Proportional to 803,261 and 1,738,768

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Solution

The third proportional to 803,261 and 1,738,768 is: 3,763,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,261 : 1,738,768 = 1,738,768 : x
  2. Step 2: Convert to fraction form
    803,261/1,738,768 = 1,738,768/x
  3. Step 3: Cross multiply
    803,261x = 1,738,768 × 1,738,768
  4. Step 4: Simplify right side
    803,261x = 3,023,314,157,824
  5. Step 5: Solve for x
    x = 3,023,314,157,824/803,261
  6. Step 6: Final answer
    x = 3,763,800.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.