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Finding the Third Proportional to 1,466,702.44 and 3,177,604.69

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Solution

The third proportional to 1,466,702.44 and 3,177,604.69 is: 6,884,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,702.44 : 3,177,604.69 = 3,177,604.69 : x
  2. Step 2: Convert to fraction form
    1,466,702.44/3,177,604.69 = 3,177,604.69/x
  3. Step 3: Cross multiply
    1,466,702.44x = 3,177,604.69 × 3,177,604.69
  4. Step 4: Simplify right side
    1,466,702.44x = 10,097,171,550,021.97
  5. Step 5: Solve for x
    x = 10,097,171,550,021.97/1,466,702.44
  6. Step 6: Final answer
    x = 6,884,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.