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Finding the Third Proportional to 784,108 and 1,173,028

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Solution

The third proportional to 784,108 and 1,173,028 is: 1,754,853.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,108 : 1,173,028 = 1,173,028 : x
  2. Step 2: Convert to fraction form
    784,108/1,173,028 = 1,173,028/x
  3. Step 3: Cross multiply
    784,108x = 1,173,028 × 1,173,028
  4. Step 4: Simplify right side
    784,108x = 1,375,994,688,784
  5. Step 5: Solve for x
    x = 1,375,994,688,784/784,108
  6. Step 6: Final answer
    x = 1,754,853.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.