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Finding the Third Proportional to 1,292,213 and 2,841,142

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Solution

The third proportional to 1,292,213 and 2,841,142 is: 6,246,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,213 : 2,841,142 = 2,841,142 : x
  2. Step 2: Convert to fraction form
    1,292,213/2,841,142 = 2,841,142/x
  3. Step 3: Cross multiply
    1,292,213x = 2,841,142 × 2,841,142
  4. Step 4: Simplify right side
    1,292,213x = 8,072,087,864,164
  5. Step 5: Solve for x
    x = 8,072,087,864,164/1,292,213
  6. Step 6: Final answer
    x = 6,246,716.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.