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Finding the Third Proportional to 658,173 and 1,424,292

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Solution

The third proportional to 658,173 and 1,424,292 is: 3,082,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,173 : 1,424,292 = 1,424,292 : x
  2. Step 2: Convert to fraction form
    658,173/1,424,292 = 1,424,292/x
  3. Step 3: Cross multiply
    658,173x = 1,424,292 × 1,424,292
  4. Step 4: Simplify right side
    658,173x = 2,028,607,701,264
  5. Step 5: Solve for x
    x = 2,028,607,701,264/658,173
  6. Step 6: Final answer
    x = 3,082,180.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.