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Finding the Third Proportional to 492,792.61 and 1,069,237.97

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Solution

The third proportional to 492,792.61 and 1,069,237.97 is: 2,319,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,792.61 : 1,069,237.97 = 1,069,237.97 : x
  2. Step 2: Convert to fraction form
    492,792.61/1,069,237.97 = 1,069,237.97/x
  3. Step 3: Cross multiply
    492,792.61x = 1,069,237.97 × 1,069,237.97
  4. Step 4: Simplify right side
    492,792.61x = 1,143,269,833,816.63
  5. Step 5: Solve for x
    x = 1,143,269,833,816.63/492,792.61
  6. Step 6: Final answer
    x = 2,319,981.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.