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Finding the Third Proportional to 2,319,924 and 4,918,376

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Solution

The third proportional to 2,319,924 and 4,918,376 is: 10,427,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319,924 : 4,918,376 = 4,918,376 : x
  2. Step 2: Convert to fraction form
    2,319,924/4,918,376 = 4,918,376/x
  3. Step 3: Cross multiply
    2,319,924x = 4,918,376 × 4,918,376
  4. Step 4: Simplify right side
    2,319,924x = 24,190,422,477,376
  5. Step 5: Solve for x
    x = 24,190,422,477,376/2,319,924
  6. Step 6: Final answer
    x = 10,427,247.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.