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Finding the Third Proportional to 701,962 and 1,026,617

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Solution

The third proportional to 701,962 and 1,026,617 is: 1,501,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,962 : 1,026,617 = 1,026,617 : x
  2. Step 2: Convert to fraction form
    701,962/1,026,617 = 1,026,617/x
  3. Step 3: Cross multiply
    701,962x = 1,026,617 × 1,026,617
  4. Step 4: Simplify right side
    701,962x = 1,053,942,464,689
  5. Step 5: Solve for x
    x = 1,053,942,464,689/701,962
  6. Step 6: Final answer
    x = 1,501,423.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.