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Finding the Third Proportional to 697,506.75 and 1,458,101.25

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Solution

The third proportional to 697,506.75 and 1,458,101.25 is: 3,048,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,506.75 : 1,458,101.25 = 1,458,101.25 : x
  2. Step 2: Convert to fraction form
    697,506.75/1,458,101.25 = 1,458,101.25/x
  3. Step 3: Cross multiply
    697,506.75x = 1,458,101.25 × 1,458,101.25
  4. Step 4: Simplify right side
    697,506.75x = 2,126,059,255,251.56
  5. Step 5: Solve for x
    x = 2,126,059,255,251.56/697,506.75
  6. Step 6: Final answer
    x = 3,048,084.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.