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Finding the Third Proportional to 540,508 and 1,176,146

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Solution

The third proportional to 540,508 and 1,176,146 is: 2,559,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,508 : 1,176,146 = 1,176,146 : x
  2. Step 2: Convert to fraction form
    540,508/1,176,146 = 1,176,146/x
  3. Step 3: Cross multiply
    540,508x = 1,176,146 × 1,176,146
  4. Step 4: Simplify right side
    540,508x = 1,383,319,413,316
  5. Step 5: Solve for x
    x = 1,383,319,413,316/540,508
  6. Step 6: Final answer
    x = 2,559,294.98

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Why These Related Problems?

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