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Finding the Third Proportional to 847,302 and 1,245,009

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Solution

The third proportional to 847,302 and 1,245,009 is: 1,829,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,302 : 1,245,009 = 1,245,009 : x
  2. Step 2: Convert to fraction form
    847,302/1,245,009 = 1,245,009/x
  3. Step 3: Cross multiply
    847,302x = 1,245,009 × 1,245,009
  4. Step 4: Simplify right side
    847,302x = 1,550,047,410,081
  5. Step 5: Solve for x
    x = 1,550,047,410,081/847,302
  6. Step 6: Final answer
    x = 1,829,391.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.