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Finding the Third Proportional to 540,214 and 1,159,157

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Solution

The third proportional to 540,214 and 1,159,157 is: 2,487,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,214 : 1,159,157 = 1,159,157 : x
  2. Step 2: Convert to fraction form
    540,214/1,159,157 = 1,159,157/x
  3. Step 3: Cross multiply
    540,214x = 1,159,157 × 1,159,157
  4. Step 4: Simplify right side
    540,214x = 1,343,644,950,649
  5. Step 5: Solve for x
    x = 1,343,644,950,649/540,214
  6. Step 6: Final answer
    x = 2,487,245.70

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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.