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Finding the Third Proportional to 2,357,292 and 5,146,384

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Solution

The third proportional to 2,357,292 and 5,146,384 is: 11,235,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,292 : 5,146,384 = 5,146,384 : x
  2. Step 2: Convert to fraction form
    2,357,292/5,146,384 = 5,146,384/x
  3. Step 3: Cross multiply
    2,357,292x = 5,146,384 × 5,146,384
  4. Step 4: Simplify right side
    2,357,292x = 26,485,268,275,456
  5. Step 5: Solve for x
    x = 26,485,268,275,456/2,357,292
  6. Step 6: Final answer
    x = 11,235,463.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.