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Finding the Third Proportional to 806,928 and 1,187,028

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Solution

The third proportional to 806,928 and 1,187,028 is: 1,746,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,928 : 1,187,028 = 1,187,028 : x
  2. Step 2: Convert to fraction form
    806,928/1,187,028 = 1,187,028/x
  3. Step 3: Cross multiply
    806,928x = 1,187,028 × 1,187,028
  4. Step 4: Simplify right side
    806,928x = 1,409,035,472,784
  5. Step 5: Solve for x
    x = 1,409,035,472,784/806,928
  6. Step 6: Final answer
    x = 1,746,172.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.