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Finding the Third Proportional to 776,727 and 1,049,405

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Solution

The third proportional to 776,727 and 1,049,405 is: 1,417,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,727 : 1,049,405 = 1,049,405 : x
  2. Step 2: Convert to fraction form
    776,727/1,049,405 = 1,049,405/x
  3. Step 3: Cross multiply
    776,727x = 1,049,405 × 1,049,405
  4. Step 4: Simplify right side
    776,727x = 1,101,250,854,025
  5. Step 5: Solve for x
    x = 1,101,250,854,025/776,727
  6. Step 6: Final answer
    x = 1,417,809.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.