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Finding the Third Proportional to 594,412 and 902,982

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Solution

The third proportional to 594,412 and 902,982 is: 1,371,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,412 : 902,982 = 902,982 : x
  2. Step 2: Convert to fraction form
    594,412/902,982 = 902,982/x
  3. Step 3: Cross multiply
    594,412x = 902,982 × 902,982
  4. Step 4: Simplify right side
    594,412x = 815,376,492,324
  5. Step 5: Solve for x
    x = 815,376,492,324/594,412
  6. Step 6: Final answer
    x = 1,371,736.26

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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.