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Finding the Third Proportional to 400,670 and 864,540

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Solution

The third proportional to 400,670 and 864,540 is: 1,865,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,670 : 864,540 = 864,540 : x
  2. Step 2: Convert to fraction form
    400,670/864,540 = 864,540/x
  3. Step 3: Cross multiply
    400,670x = 864,540 × 864,540
  4. Step 4: Simplify right side
    400,670x = 747,429,411,600
  5. Step 5: Solve for x
    x = 747,429,411,600/400,670
  6. Step 6: Final answer
    x = 1,865,448.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.