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Finding the Third Proportional to 584,472 and 1,259,232

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Solution

The third proportional to 584,472 and 1,259,232 is: 2,712,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,472 : 1,259,232 = 1,259,232 : x
  2. Step 2: Convert to fraction form
    584,472/1,259,232 = 1,259,232/x
  3. Step 3: Cross multiply
    584,472x = 1,259,232 × 1,259,232
  4. Step 4: Simplify right side
    584,472x = 1,585,665,229,824
  5. Step 5: Solve for x
    x = 1,585,665,229,824/584,472
  6. Step 6: Final answer
    x = 2,712,987.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.