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Finding the Third Proportional to 592,164 and 1,285,416

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Solution

The third proportional to 592,164 and 1,285,416 is: 2,790,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,164 : 1,285,416 = 1,285,416 : x
  2. Step 2: Convert to fraction form
    592,164/1,285,416 = 1,285,416/x
  3. Step 3: Cross multiply
    592,164x = 1,285,416 × 1,285,416
  4. Step 4: Simplify right side
    592,164x = 1,652,294,293,056
  5. Step 5: Solve for x
    x = 1,652,294,293,056/592,164
  6. Step 6: Final answer
    x = 2,790,264.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.