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Finding the Third Proportional to 731,999 and 1,509,196

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Solution

The third proportional to 731,999 and 1,509,196 is: 3,111,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,999 : 1,509,196 = 1,509,196 : x
  2. Step 2: Convert to fraction form
    731,999/1,509,196 = 1,509,196/x
  3. Step 3: Cross multiply
    731,999x = 1,509,196 × 1,509,196
  4. Step 4: Simplify right side
    731,999x = 2,277,672,566,416
  5. Step 5: Solve for x
    x = 2,277,672,566,416/731,999
  6. Step 6: Final answer
    x = 3,111,578.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.