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Finding the Third Proportional to 1,873,643 and 4,031,461

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Solution

The third proportional to 1,873,643 and 4,031,461 is: 8,674,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,643 : 4,031,461 = 4,031,461 : x
  2. Step 2: Convert to fraction form
    1,873,643/4,031,461 = 4,031,461/x
  3. Step 3: Cross multiply
    1,873,643x = 4,031,461 × 4,031,461
  4. Step 4: Simplify right side
    1,873,643x = 16,252,677,794,521
  5. Step 5: Solve for x
    x = 16,252,677,794,521/1,873,643
  6. Step 6: Final answer
    x = 8,674,372.76

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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.