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Finding the Third Proportional to 540,270 and 1,164,333

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Solution

The third proportional to 540,270 and 1,164,333 is: 2,509,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,270 : 1,164,333 = 1,164,333 : x
  2. Step 2: Convert to fraction form
    540,270/1,164,333 = 1,164,333/x
  3. Step 3: Cross multiply
    540,270x = 1,164,333 × 1,164,333
  4. Step 4: Simplify right side
    540,270x = 1,355,671,334,889
  5. Step 5: Solve for x
    x = 1,355,671,334,889/540,270
  6. Step 6: Final answer
    x = 2,509,247.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.