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Finding the Third Proportional to 418,916 and 904,252

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Solution

The third proportional to 418,916 and 904,252 is: 1,951,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,916 : 904,252 = 904,252 : x
  2. Step 2: Convert to fraction form
    418,916/904,252 = 904,252/x
  3. Step 3: Cross multiply
    418,916x = 904,252 × 904,252
  4. Step 4: Simplify right side
    418,916x = 817,671,679,504
  5. Step 5: Solve for x
    x = 817,671,679,504/418,916
  6. Step 6: Final answer
    x = 1,951,875.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.