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Finding the Third Proportional to 779,723 and 1,175,345

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Solution

The third proportional to 779,723 and 1,175,345 is: 1,771,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,723 : 1,175,345 = 1,175,345 : x
  2. Step 2: Convert to fraction form
    779,723/1,175,345 = 1,175,345/x
  3. Step 3: Cross multiply
    779,723x = 1,175,345 × 1,175,345
  4. Step 4: Simplify right side
    779,723x = 1,381,435,869,025
  5. Step 5: Solve for x
    x = 1,381,435,869,025/779,723
  6. Step 6: Final answer
    x = 1,771,700.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.