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Finding the Third Proportional to 722,076.19 and 972,541.69

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Solution

The third proportional to 722,076.19 and 972,541.69 is: 1,309,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,076.19 : 972,541.69 = 972,541.69 : x
  2. Step 2: Convert to fraction form
    722,076.19/972,541.69 = 972,541.69/x
  3. Step 3: Cross multiply
    722,076.19x = 972,541.69 × 972,541.69
  4. Step 4: Simplify right side
    722,076.19x = 945,837,333,925.35
  5. Step 5: Solve for x
    x = 945,837,333,925.35/722,076.19
  6. Step 6: Final answer
    x = 1,309,885.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.