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Finding the Third Proportional to 626,346 and 951,972

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Solution

The third proportional to 626,346 and 951,972 is: 1,446,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,346 : 951,972 = 951,972 : x
  2. Step 2: Convert to fraction form
    626,346/951,972 = 951,972/x
  3. Step 3: Cross multiply
    626,346x = 951,972 × 951,972
  4. Step 4: Simplify right side
    626,346x = 906,250,688,784
  5. Step 5: Solve for x
    x = 906,250,688,784/626,346
  6. Step 6: Final answer
    x = 1,446,885.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.