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Finding the Third Proportional to 786,522.25 and 1,214,554.75

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Solution

The third proportional to 786,522.25 and 1,214,554.75 is: 1,875,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,522.25 : 1,214,554.75 = 1,214,554.75 : x
  2. Step 2: Convert to fraction form
    786,522.25/1,214,554.75 = 1,214,554.75/x
  3. Step 3: Cross multiply
    786,522.25x = 1,214,554.75 × 1,214,554.75
  4. Step 4: Simplify right side
    786,522.25x = 1,475,143,240,747.56
  5. Step 5: Solve for x
    x = 1,475,143,240,747.56/786,522.25
  6. Step 6: Final answer
    x = 1,875,526.40

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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.