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Finding the Third Proportional to 826,605 and 1,264,356

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Solution

The third proportional to 826,605 and 1,264,356 is: 1,933,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,605 : 1,264,356 = 1,264,356 : x
  2. Step 2: Convert to fraction form
    826,605/1,264,356 = 1,264,356/x
  3. Step 3: Cross multiply
    826,605x = 1,264,356 × 1,264,356
  4. Step 4: Simplify right side
    826,605x = 1,598,596,094,736
  5. Step 5: Solve for x
    x = 1,598,596,094,736/826,605
  6. Step 6: Final answer
    x = 1,933,929.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.