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Finding the Third Proportional to 560,302 and 1,199,335

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Solution

The third proportional to 560,302 and 1,199,335 is: 2,567,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,302 : 1,199,335 = 1,199,335 : x
  2. Step 2: Convert to fraction form
    560,302/1,199,335 = 1,199,335/x
  3. Step 3: Cross multiply
    560,302x = 1,199,335 × 1,199,335
  4. Step 4: Simplify right side
    560,302x = 1,438,404,442,225
  5. Step 5: Solve for x
    x = 1,438,404,442,225/560,302
  6. Step 6: Final answer
    x = 2,567,194.91

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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.