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Finding the Third Proportional to 3,116,117.25 and 4,661,725.50

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Solution

The third proportional to 3,116,117.25 and 4,661,725.50 is: 6,973,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,117.25 : 4,661,725.50 = 4,661,725.50 : x
  2. Step 2: Convert to fraction form
    3,116,117.25/4,661,725.50 = 4,661,725.50/x
  3. Step 3: Cross multiply
    3,116,117.25x = 4,661,725.50 × 4,661,725.50
  4. Step 4: Simplify right side
    3,116,117.25x = 21,731,684,637,350.25
  5. Step 5: Solve for x
    x = 21,731,684,637,350.25/3,116,117.25
  6. Step 6: Final answer
    x = 6,973,962.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.