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Finding the Third Proportional to 714,144 and 1,105,792

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Solution

The third proportional to 714,144 and 1,105,792 is: 1,712,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,144 : 1,105,792 = 1,105,792 : x
  2. Step 2: Convert to fraction form
    714,144/1,105,792 = 1,105,792/x
  3. Step 3: Cross multiply
    714,144x = 1,105,792 × 1,105,792
  4. Step 4: Simplify right side
    714,144x = 1,222,775,947,264
  5. Step 5: Solve for x
    x = 1,222,775,947,264/714,144
  6. Step 6: Final answer
    x = 1,712,226.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.