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Finding the Third Proportional to 2,154,924 and 4,713,714

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Solution

The third proportional to 2,154,924 and 4,713,714 is: 10,310,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,924 : 4,713,714 = 4,713,714 : x
  2. Step 2: Convert to fraction form
    2,154,924/4,713,714 = 4,713,714/x
  3. Step 3: Cross multiply
    2,154,924x = 4,713,714 × 4,713,714
  4. Step 4: Simplify right side
    2,154,924x = 22,219,099,673,796
  5. Step 5: Solve for x
    x = 22,219,099,673,796/2,154,924
  6. Step 6: Final answer
    x = 10,310,850.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.