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Finding the Third Proportional to 728,303 and 1,102,576

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Solution

The third proportional to 728,303 and 1,102,576 is: 1,669,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,303 : 1,102,576 = 1,102,576 : x
  2. Step 2: Convert to fraction form
    728,303/1,102,576 = 1,102,576/x
  3. Step 3: Cross multiply
    728,303x = 1,102,576 × 1,102,576
  4. Step 4: Simplify right side
    728,303x = 1,215,673,835,776
  5. Step 5: Solve for x
    x = 1,215,673,835,776/728,303
  6. Step 6: Final answer
    x = 1,669,186.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.