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Finding the Third Proportional to 763,372 and 1,162,967

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Solution

The third proportional to 763,372 and 1,162,967 is: 1,771,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,372 : 1,162,967 = 1,162,967 : x
  2. Step 2: Convert to fraction form
    763,372/1,162,967 = 1,162,967/x
  3. Step 3: Cross multiply
    763,372x = 1,162,967 × 1,162,967
  4. Step 4: Simplify right side
    763,372x = 1,352,492,243,089
  5. Step 5: Solve for x
    x = 1,352,492,243,089/763,372
  6. Step 6: Final answer
    x = 1,771,734.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.