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Finding the Third Proportional to 594,192 and 975,416

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Solution

The third proportional to 594,192 and 975,416 is: 1,601,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,192 : 975,416 = 975,416 : x
  2. Step 2: Convert to fraction form
    594,192/975,416 = 975,416/x
  3. Step 3: Cross multiply
    594,192x = 975,416 × 975,416
  4. Step 4: Simplify right side
    594,192x = 951,436,373,056
  5. Step 5: Solve for x
    x = 951,436,373,056/594,192
  6. Step 6: Final answer
    x = 1,601,227.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.