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Finding the Third Proportional to 540,156 and 1,177,504

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Solution

The third proportional to 540,156 and 1,177,504 is: 2,566,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,156 : 1,177,504 = 1,177,504 : x
  2. Step 2: Convert to fraction form
    540,156/1,177,504 = 1,177,504/x
  3. Step 3: Cross multiply
    540,156x = 1,177,504 × 1,177,504
  4. Step 4: Simplify right side
    540,156x = 1,386,515,670,016
  5. Step 5: Solve for x
    x = 1,386,515,670,016/540,156
  6. Step 6: Final answer
    x = 2,566,880.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.