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Finding the Third Proportional to 691,830 and 1,514,880

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Solution

The third proportional to 691,830 and 1,514,880 is: 3,317,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,830 : 1,514,880 = 1,514,880 : x
  2. Step 2: Convert to fraction form
    691,830/1,514,880 = 1,514,880/x
  3. Step 3: Cross multiply
    691,830x = 1,514,880 × 1,514,880
  4. Step 4: Simplify right side
    691,830x = 2,294,861,414,400
  5. Step 5: Solve for x
    x = 2,294,861,414,400/691,830
  6. Step 6: Final answer
    x = 3,317,088.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.