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Finding the Third Proportional to 783,126 and 1,246,114.50

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Solution

The third proportional to 783,126 and 1,246,114.50 is: 1,982,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,126 : 1,246,114.50 = 1,246,114.50 : x
  2. Step 2: Convert to fraction form
    783,126/1,246,114.50 = 1,246,114.50/x
  3. Step 3: Cross multiply
    783,126x = 1,246,114.50 × 1,246,114.50
  4. Step 4: Simplify right side
    783,126x = 1,552,801,347,110.25
  5. Step 5: Solve for x
    x = 1,552,801,347,110.25/783,126
  6. Step 6: Final answer
    x = 1,982,824.41

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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.