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Finding the Third Proportional to 484,800 and 1,132,294

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Solution

The third proportional to 484,800 and 1,132,294 is: 2,644,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,800 : 1,132,294 = 1,132,294 : x
  2. Step 2: Convert to fraction form
    484,800/1,132,294 = 1,132,294/x
  3. Step 3: Cross multiply
    484,800x = 1,132,294 × 1,132,294
  4. Step 4: Simplify right side
    484,800x = 1,282,089,702,436
  5. Step 5: Solve for x
    x = 1,282,089,702,436/484,800
  6. Step 6: Final answer
    x = 2,644,574.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.