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Finding the Third Proportional to 684,090 and 1,499,520

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Solution

The third proportional to 684,090 and 1,499,520 is: 3,286,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,090 : 1,499,520 = 1,499,520 : x
  2. Step 2: Convert to fraction form
    684,090/1,499,520 = 1,499,520/x
  3. Step 3: Cross multiply
    684,090x = 1,499,520 × 1,499,520
  4. Step 4: Simplify right side
    684,090x = 2,248,560,230,400
  5. Step 5: Solve for x
    x = 2,248,560,230,400/684,090
  6. Step 6: Final answer
    x = 3,286,936.27

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Why These Related Problems?

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