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Finding the Third Proportional to 2,357,293 and 5,146,386

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Solution

The third proportional to 2,357,293 and 5,146,386 is: 11,235,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,293 : 5,146,386 = 5,146,386 : x
  2. Step 2: Convert to fraction form
    2,357,293/5,146,386 = 5,146,386/x
  3. Step 3: Cross multiply
    2,357,293x = 5,146,386 × 5,146,386
  4. Step 4: Simplify right side
    2,357,293x = 26,485,288,860,996
  5. Step 5: Solve for x
    x = 26,485,288,860,996/2,357,293
  6. Step 6: Final answer
    x = 11,235,467.49

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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.