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Finding the Third Proportional to 763,034 and 1,630,396

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Solution

The third proportional to 763,034 and 1,630,396 is: 3,483,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,034 : 1,630,396 = 1,630,396 : x
  2. Step 2: Convert to fraction form
    763,034/1,630,396 = 1,630,396/x
  3. Step 3: Cross multiply
    763,034x = 1,630,396 × 1,630,396
  4. Step 4: Simplify right side
    763,034x = 2,658,191,116,816
  5. Step 5: Solve for x
    x = 2,658,191,116,816/763,034
  6. Step 6: Final answer
    x = 3,483,712.54

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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.