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Finding the Third Proportional to 840,903 and 1,838,298

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Solution

The third proportional to 840,903 and 1,838,298 is: 4,018,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,903 : 1,838,298 = 1,838,298 : x
  2. Step 2: Convert to fraction form
    840,903/1,838,298 = 1,838,298/x
  3. Step 3: Cross multiply
    840,903x = 1,838,298 × 1,838,298
  4. Step 4: Simplify right side
    840,903x = 3,379,339,536,804
  5. Step 5: Solve for x
    x = 3,379,339,536,804/840,903
  6. Step 6: Final answer
    x = 4,018,703.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.