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Finding the Third Proportional to 763,319 and 1,036,661

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Solution

The third proportional to 763,319 and 1,036,661 is: 1,407,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,319 : 1,036,661 = 1,036,661 : x
  2. Step 2: Convert to fraction form
    763,319/1,036,661 = 1,036,661/x
  3. Step 3: Cross multiply
    763,319x = 1,036,661 × 1,036,661
  4. Step 4: Simplify right side
    763,319x = 1,074,666,028,921
  5. Step 5: Solve for x
    x = 1,074,666,028,921/763,319
  6. Step 6: Final answer
    x = 1,407,885.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.