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Finding the Third Proportional to 411,931 and 868,148

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Solution

The third proportional to 411,931 and 868,148 is: 1,829,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,931 : 868,148 = 868,148 : x
  2. Step 2: Convert to fraction form
    411,931/868,148 = 868,148/x
  3. Step 3: Cross multiply
    411,931x = 868,148 × 868,148
  4. Step 4: Simplify right side
    411,931x = 753,680,949,904
  5. Step 5: Solve for x
    x = 753,680,949,904/411,931
  6. Step 6: Final answer
    x = 1,829,629.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.