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Finding the Third Proportional to 899,102 and 1,912,617

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Solution

The third proportional to 899,102 and 1,912,617 is: 4,068,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,102 : 1,912,617 = 1,912,617 : x
  2. Step 2: Convert to fraction form
    899,102/1,912,617 = 1,912,617/x
  3. Step 3: Cross multiply
    899,102x = 1,912,617 × 1,912,617
  4. Step 4: Simplify right side
    899,102x = 3,658,103,788,689
  5. Step 5: Solve for x
    x = 3,658,103,788,689/899,102
  6. Step 6: Final answer
    x = 4,068,619.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.