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Finding the Third Proportional to 2,256,358 and 4,924,268

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Solution

The third proportional to 2,256,358 and 4,924,268 is: 10,746,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,358 : 4,924,268 = 4,924,268 : x
  2. Step 2: Convert to fraction form
    2,256,358/4,924,268 = 4,924,268/x
  3. Step 3: Cross multiply
    2,256,358x = 4,924,268 × 4,924,268
  4. Step 4: Simplify right side
    2,256,358x = 24,248,415,335,824
  5. Step 5: Solve for x
    x = 24,248,415,335,824/2,256,358
  6. Step 6: Final answer
    x = 10,746,705.68

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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.