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Finding the Third Proportional to 1,754,096.50 and 3,779,381

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Solution

The third proportional to 1,754,096.50 and 3,779,381 is: 8,143,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,096.50 : 3,779,381 = 3,779,381 : x
  2. Step 2: Convert to fraction form
    1,754,096.50/3,779,381 = 3,779,381/x
  3. Step 3: Cross multiply
    1,754,096.50x = 3,779,381 × 3,779,381
  4. Step 4: Simplify right side
    1,754,096.50x = 14,283,720,743,161
  5. Step 5: Solve for x
    x = 14,283,720,743,161/1,754,096.50
  6. Step 6: Final answer
    x = 8,143,064.39

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Why These Related Problems?

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