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Finding the Third Proportional to 1,292,215 and 2,841,146

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Solution

The third proportional to 1,292,215 and 2,841,146 is: 6,246,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,215 : 2,841,146 = 2,841,146 : x
  2. Step 2: Convert to fraction form
    1,292,215/2,841,146 = 2,841,146/x
  3. Step 3: Cross multiply
    1,292,215x = 2,841,146 × 2,841,146
  4. Step 4: Simplify right side
    1,292,215x = 8,072,110,593,316
  5. Step 5: Solve for x
    x = 8,072,110,593,316/1,292,215
  6. Step 6: Final answer
    x = 6,246,724.11

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Why These Related Problems?

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