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Finding the Third Proportional to 560,349 and 1,199,430

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Solution

The third proportional to 560,349 and 1,199,430 is: 2,567,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,349 : 1,199,430 = 1,199,430 : x
  2. Step 2: Convert to fraction form
    560,349/1,199,430 = 1,199,430/x
  3. Step 3: Cross multiply
    560,349x = 1,199,430 × 1,199,430
  4. Step 4: Simplify right side
    560,349x = 1,438,632,324,900
  5. Step 5: Solve for x
    x = 1,438,632,324,900/560,349
  6. Step 6: Final answer
    x = 2,567,386.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.