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Finding the Third Proportional to 763,374 and 1,162,970

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Solution

The third proportional to 763,374 and 1,162,970 is: 1,771,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,374 : 1,162,970 = 1,162,970 : x
  2. Step 2: Convert to fraction form
    763,374/1,162,970 = 1,162,970/x
  3. Step 3: Cross multiply
    763,374x = 1,162,970 × 1,162,970
  4. Step 4: Simplify right side
    763,374x = 1,352,499,220,900
  5. Step 5: Solve for x
    x = 1,352,499,220,900/763,374
  6. Step 6: Final answer
    x = 1,771,738.65

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