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Finding the Third Proportional to 594,410 and 902,979

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Solution

The third proportional to 594,410 and 902,979 is: 1,371,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,410 : 902,979 = 902,979 : x
  2. Step 2: Convert to fraction form
    594,410/902,979 = 902,979/x
  3. Step 3: Cross multiply
    594,410x = 902,979 × 902,979
  4. Step 4: Simplify right side
    594,410x = 815,371,074,441
  5. Step 5: Solve for x
    x = 815,371,074,441/594,410
  6. Step 6: Final answer
    x = 1,371,731.76

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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.