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Finding the Third Proportional to 1,582,347 and 3,400,617

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Solution

The third proportional to 1,582,347 and 3,400,617 is: 7,308,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,347 : 3,400,617 = 3,400,617 : x
  2. Step 2: Convert to fraction form
    1,582,347/3,400,617 = 3,400,617/x
  3. Step 3: Cross multiply
    1,582,347x = 3,400,617 × 3,400,617
  4. Step 4: Simplify right side
    1,582,347x = 11,564,195,980,689
  5. Step 5: Solve for x
    x = 11,564,195,980,689/1,582,347
  6. Step 6: Final answer
    x = 7,308,255.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.