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Finding the Third Proportional to 954,220.50 and 1,461,908.25

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Solution

The third proportional to 954,220.50 and 1,461,908.25 is: 2,239,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,220.50 : 1,461,908.25 = 1,461,908.25 : x
  2. Step 2: Convert to fraction form
    954,220.50/1,461,908.25 = 1,461,908.25/x
  3. Step 3: Cross multiply
    954,220.50x = 1,461,908.25 × 1,461,908.25
  4. Step 4: Simplify right side
    954,220.50x = 2,137,175,731,418.06
  5. Step 5: Solve for x
    x = 2,137,175,731,418.06/954,220.50
  6. Step 6: Final answer
    x = 2,239,708.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.