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Finding the Third Proportional to 786,520.25 and 1,214,551.75

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Solution

The third proportional to 786,520.25 and 1,214,551.75 is: 1,875,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,520.25 : 1,214,551.75 = 1,214,551.75 : x
  2. Step 2: Convert to fraction form
    786,520.25/1,214,551.75 = 1,214,551.75/x
  3. Step 3: Cross multiply
    786,520.25x = 1,214,551.75 × 1,214,551.75
  4. Step 4: Simplify right side
    786,520.25x = 1,475,135,953,428.06
  5. Step 5: Solve for x
    x = 1,475,135,953,428.06/786,520.25
  6. Step 6: Final answer
    x = 1,875,521.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.