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Finding the Third Proportional to 1,358,698.50 and 2,961,551.25

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Solution

The third proportional to 1,358,698.50 and 2,961,551.25 is: 6,455,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,698.50 : 2,961,551.25 = 2,961,551.25 : x
  2. Step 2: Convert to fraction form
    1,358,698.50/2,961,551.25 = 2,961,551.25/x
  3. Step 3: Cross multiply
    1,358,698.50x = 2,961,551.25 × 2,961,551.25
  4. Step 4: Simplify right side
    1,358,698.50x = 8,770,785,806,376.56
  5. Step 5: Solve for x
    x = 8,770,785,806,376.56/1,358,698.50
  6. Step 6: Final answer
    x = 6,455,284.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.