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Finding the Third Proportional to 531,266 and 1,141,262

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Solution

The third proportional to 531,266 and 1,141,262 is: 2,451,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,266 : 1,141,262 = 1,141,262 : x
  2. Step 2: Convert to fraction form
    531,266/1,141,262 = 1,141,262/x
  3. Step 3: Cross multiply
    531,266x = 1,141,262 × 1,141,262
  4. Step 4: Simplify right side
    531,266x = 1,302,478,952,644
  5. Step 5: Solve for x
    x = 1,302,478,952,644/531,266
  6. Step 6: Final answer
    x = 2,451,651.25

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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.