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Finding the Third Proportional to 915,984 and 1,953,699.75

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Solution

The third proportional to 915,984 and 1,953,699.75 is: 4,167,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,984 : 1,953,699.75 = 1,953,699.75 : x
  2. Step 2: Convert to fraction form
    915,984/1,953,699.75 = 1,953,699.75/x
  3. Step 3: Cross multiply
    915,984x = 1,953,699.75 × 1,953,699.75
  4. Step 4: Simplify right side
    915,984x = 3,816,942,713,150.06
  5. Step 5: Solve for x
    x = 3,816,942,713,150.06/915,984
  6. Step 6: Final answer
    x = 4,167,040.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.