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Finding the Third Proportional to 921,519 and 1,442,473

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Solution

The third proportional to 921,519 and 1,442,473 is: 2,257,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,519 : 1,442,473 = 1,442,473 : x
  2. Step 2: Convert to fraction form
    921,519/1,442,473 = 1,442,473/x
  3. Step 3: Cross multiply
    921,519x = 1,442,473 × 1,442,473
  4. Step 4: Simplify right side
    921,519x = 2,080,728,355,729
  5. Step 5: Solve for x
    x = 2,080,728,355,729/921,519
  6. Step 6: Final answer
    x = 2,257,933.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.