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Finding the Third Proportional to 818,096 and 1,910,730

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Solution

The third proportional to 818,096 and 1,910,730 is: 4,462,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,096 : 1,910,730 = 1,910,730 : x
  2. Step 2: Convert to fraction form
    818,096/1,910,730 = 1,910,730/x
  3. Step 3: Cross multiply
    818,096x = 1,910,730 × 1,910,730
  4. Step 4: Simplify right side
    818,096x = 3,650,889,132,900
  5. Step 5: Solve for x
    x = 3,650,889,132,900/818,096
  6. Step 6: Final answer
    x = 4,462,665.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.