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Finding the Third Proportional to 590,409 and 1,294,299

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Solution

The third proportional to 590,409 and 1,294,299 is: 2,837,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,409 : 1,294,299 = 1,294,299 : x
  2. Step 2: Convert to fraction form
    590,409/1,294,299 = 1,294,299/x
  3. Step 3: Cross multiply
    590,409x = 1,294,299 × 1,294,299
  4. Step 4: Simplify right side
    590,409x = 1,675,209,901,401
  5. Step 5: Solve for x
    x = 1,675,209,901,401/590,409
  6. Step 6: Final answer
    x = 2,837,371.89

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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.