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Finding the Third Proportional to 1,772,984 and 3,919,208

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Solution

The third proportional to 1,772,984 and 3,919,208 is: 8,663,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,984 : 3,919,208 = 3,919,208 : x
  2. Step 2: Convert to fraction form
    1,772,984/3,919,208 = 3,919,208/x
  3. Step 3: Cross multiply
    1,772,984x = 3,919,208 × 3,919,208
  4. Step 4: Simplify right side
    1,772,984x = 15,360,191,347,264
  5. Step 5: Solve for x
    x = 15,360,191,347,264/1,772,984
  6. Step 6: Final answer
    x = 8,663,468.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.