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Finding the Third Proportional to 591,813 and 1,294,353

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Solution

The third proportional to 591,813 and 1,294,353 is: 2,830,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,813 : 1,294,353 = 1,294,353 : x
  2. Step 2: Convert to fraction form
    591,813/1,294,353 = 1,294,353/x
  3. Step 3: Cross multiply
    591,813x = 1,294,353 × 1,294,353
  4. Step 4: Simplify right side
    591,813x = 1,675,349,688,609
  5. Step 5: Solve for x
    x = 1,675,349,688,609/591,813
  6. Step 6: Final answer
    x = 2,830,876.79

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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.