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Finding the Third Proportional to 2,357,298 and 5,146,389

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Solution

The third proportional to 2,357,298 and 5,146,389 is: 11,235,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,298 : 5,146,389 = 5,146,389 : x
  2. Step 2: Convert to fraction form
    2,357,298/5,146,389 = 5,146,389/x
  3. Step 3: Cross multiply
    2,357,298x = 5,146,389 × 5,146,389
  4. Step 4: Simplify right side
    2,357,298x = 26,485,319,739,321
  5. Step 5: Solve for x
    x = 26,485,319,739,321/2,357,298
  6. Step 6: Final answer
    x = 11,235,456.76

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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.