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Finding the Third Proportional to 540,141 and 1,164,021

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Solution

The third proportional to 540,141 and 1,164,021 is: 2,508,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,141 : 1,164,021 = 1,164,021 : x
  2. Step 2: Convert to fraction form
    540,141/1,164,021 = 1,164,021/x
  3. Step 3: Cross multiply
    540,141x = 1,164,021 × 1,164,021
  4. Step 4: Simplify right side
    540,141x = 1,354,944,888,441
  5. Step 5: Solve for x
    x = 1,354,944,888,441/540,141
  6. Step 6: Final answer
    x = 2,508,502.20

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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.