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Finding the Third Proportional to 1,609,962.75 and 2,256,332.63

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Solution

The third proportional to 1,609,962.75 and 2,256,332.63 is: 3,162,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,962.75 : 2,256,332.63 = 2,256,332.63 : x
  2. Step 2: Convert to fraction form
    1,609,962.75/2,256,332.63 = 2,256,332.63/x
  3. Step 3: Cross multiply
    1,609,962.75x = 2,256,332.63 × 2,256,332.63
  4. Step 4: Simplify right side
    1,609,962.75x = 5,091,036,914,639.39
  5. Step 5: Solve for x
    x = 5,091,036,914,639.39/1,609,962.75
  6. Step 6: Final answer
    x = 3,162,207.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.