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Finding the Third Proportional to 400,443 and 870,582

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Solution

The third proportional to 400,443 and 870,582 is: 1,892,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,443 : 870,582 = 870,582 : x
  2. Step 2: Convert to fraction form
    400,443/870,582 = 870,582/x
  3. Step 3: Cross multiply
    400,443x = 870,582 × 870,582
  4. Step 4: Simplify right side
    400,443x = 757,913,018,724
  5. Step 5: Solve for x
    x = 757,913,018,724/400,443
  6. Step 6: Final answer
    x = 1,892,686.40

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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.