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Finding the Third Proportional to 658,592 and 1,047,324

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Solution

The third proportional to 658,592 and 1,047,324 is: 1,665,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,592 : 1,047,324 = 1,047,324 : x
  2. Step 2: Convert to fraction form
    658,592/1,047,324 = 1,047,324/x
  3. Step 3: Cross multiply
    658,592x = 1,047,324 × 1,047,324
  4. Step 4: Simplify right side
    658,592x = 1,096,887,560,976
  5. Step 5: Solve for x
    x = 1,096,887,560,976/658,592
  6. Step 6: Final answer
    x = 1,665,503.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.