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Finding the Third Proportional to 783,120 and 1,246,106

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Solution

The third proportional to 783,120 and 1,246,106 is: 1,982,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,120 : 1,246,106 = 1,246,106 : x
  2. Step 2: Convert to fraction form
    783,120/1,246,106 = 1,246,106/x
  3. Step 3: Cross multiply
    783,120x = 1,246,106 × 1,246,106
  4. Step 4: Simplify right side
    783,120x = 1,552,780,163,236
  5. Step 5: Solve for x
    x = 1,552,780,163,236/783,120
  6. Step 6: Final answer
    x = 1,982,812.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.