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Finding the Third Proportional to 763,032 and 1,630,392

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Solution

The third proportional to 763,032 and 1,630,392 is: 3,483,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,032 : 1,630,392 = 1,630,392 : x
  2. Step 2: Convert to fraction form
    763,032/1,630,392 = 1,630,392/x
  3. Step 3: Cross multiply
    763,032x = 1,630,392 × 1,630,392
  4. Step 4: Simplify right side
    763,032x = 2,658,178,073,664
  5. Step 5: Solve for x
    x = 2,658,178,073,664/763,032
  6. Step 6: Final answer
    x = 3,483,704.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.