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Finding the Third Proportional to 543,213 and 1,169,262

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Solution

The third proportional to 543,213 and 1,169,262 is: 2,516,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,213 : 1,169,262 = 1,169,262 : x
  2. Step 2: Convert to fraction form
    543,213/1,169,262 = 1,169,262/x
  3. Step 3: Cross multiply
    543,213x = 1,169,262 × 1,169,262
  4. Step 4: Simplify right side
    543,213x = 1,367,173,624,644
  5. Step 5: Solve for x
    x = 1,367,173,624,644/543,213
  6. Step 6: Final answer
    x = 2,516,827.88

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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.