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Finding the Third Proportional to 540,114 and 1,163,340

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Solution

The third proportional to 540,114 and 1,163,340 is: 2,505,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,114 : 1,163,340 = 1,163,340 : x
  2. Step 2: Convert to fraction form
    540,114/1,163,340 = 1,163,340/x
  3. Step 3: Cross multiply
    540,114x = 1,163,340 × 1,163,340
  4. Step 4: Simplify right side
    540,114x = 1,353,359,955,600
  5. Step 5: Solve for x
    x = 1,353,359,955,600/540,114
  6. Step 6: Final answer
    x = 2,505,693.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.