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Finding the Third Proportional to 817,472 and 1,796,235

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Solution

The third proportional to 817,472 and 1,796,235 is: 3,946,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,472 : 1,796,235 = 1,796,235 : x
  2. Step 2: Convert to fraction form
    817,472/1,796,235 = 1,796,235/x
  3. Step 3: Cross multiply
    817,472x = 1,796,235 × 1,796,235
  4. Step 4: Simplify right side
    817,472x = 3,226,460,175,225
  5. Step 5: Solve for x
    x = 3,226,460,175,225/817,472
  6. Step 6: Final answer
    x = 3,946,875.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.