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Finding the Third Proportional to 1,873,645 and 4,031,465

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Solution

The third proportional to 1,873,645 and 4,031,465 is: 8,674,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,645 : 4,031,465 = 4,031,465 : x
  2. Step 2: Convert to fraction form
    1,873,645/4,031,465 = 4,031,465/x
  3. Step 3: Cross multiply
    1,873,645x = 4,031,465 × 4,031,465
  4. Step 4: Simplify right side
    1,873,645x = 16,252,710,046,225
  5. Step 5: Solve for x
    x = 16,252,710,046,225/1,873,645
  6. Step 6: Final answer
    x = 8,674,380.71

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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.