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Finding the Third Proportional to 452,126 and 684,009

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Solution

The third proportional to 452,126 and 684,009 is: 1,034,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,126 : 684,009 = 684,009 : x
  2. Step 2: Convert to fraction form
    452,126/684,009 = 684,009/x
  3. Step 3: Cross multiply
    452,126x = 684,009 × 684,009
  4. Step 4: Simplify right side
    452,126x = 467,868,312,081
  5. Step 5: Solve for x
    x = 467,868,312,081/452,126
  6. Step 6: Final answer
    x = 1,034,818.42

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Why These Related Problems?

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