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Finding the Third Proportional to 514,088 and 1,090,384

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Solution

The third proportional to 514,088 and 1,090,384 is: 2,312,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,088 : 1,090,384 = 1,090,384 : x
  2. Step 2: Convert to fraction form
    514,088/1,090,384 = 1,090,384/x
  3. Step 3: Cross multiply
    514,088x = 1,090,384 × 1,090,384
  4. Step 4: Simplify right side
    514,088x = 1,188,937,267,456
  5. Step 5: Solve for x
    x = 1,188,937,267,456/514,088
  6. Step 6: Final answer
    x = 2,312,711.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.