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Finding the Third Proportional to 749,253 and 1,191,695

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Solution

The third proportional to 749,253 and 1,191,695 is: 1,895,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,253 : 1,191,695 = 1,191,695 : x
  2. Step 2: Convert to fraction form
    749,253/1,191,695 = 1,191,695/x
  3. Step 3: Cross multiply
    749,253x = 1,191,695 × 1,191,695
  4. Step 4: Simplify right side
    749,253x = 1,420,136,973,025
  5. Step 5: Solve for x
    x = 1,420,136,973,025/749,253
  6. Step 6: Final answer
    x = 1,895,403.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.