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Finding the Third Proportional to 408,582 and 886,052

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Solution

The third proportional to 408,582 and 886,052 is: 1,921,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,582 : 886,052 = 886,052 : x
  2. Step 2: Convert to fraction form
    408,582/886,052 = 886,052/x
  3. Step 3: Cross multiply
    408,582x = 886,052 × 886,052
  4. Step 4: Simplify right side
    408,582x = 785,088,146,704
  5. Step 5: Solve for x
    x = 785,088,146,704/408,582
  6. Step 6: Final answer
    x = 1,921,494.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.