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Finding the Third Proportional to 1,592,460 and 3,464,856

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Solution

The third proportional to 1,592,460 and 3,464,856 is: 7,538,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,460 : 3,464,856 = 3,464,856 : x
  2. Step 2: Convert to fraction form
    1,592,460/3,464,856 = 3,464,856/x
  3. Step 3: Cross multiply
    1,592,460x = 3,464,856 × 3,464,856
  4. Step 4: Simplify right side
    1,592,460x = 12,005,227,100,736
  5. Step 5: Solve for x
    x = 12,005,227,100,736/1,592,460
  6. Step 6: Final answer
    x = 7,538,793.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.