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Finding the Third Proportional to 1,873,649 and 4,031,473

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Solution

The third proportional to 1,873,649 and 4,031,473 is: 8,674,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,649 : 4,031,473 = 4,031,473 : x
  2. Step 2: Convert to fraction form
    1,873,649/4,031,473 = 4,031,473/x
  3. Step 3: Cross multiply
    1,873,649x = 4,031,473 × 4,031,473
  4. Step 4: Simplify right side
    1,873,649x = 16,252,774,549,729
  5. Step 5: Solve for x
    x = 16,252,774,549,729/1,873,649
  6. Step 6: Final answer
    x = 8,674,396.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.