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Finding the Third Proportional to 404,443,742 and 871,365,122

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Solution

The third proportional to 404,443,742 and 871,365,122 is: 1,877,336,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,443,742 : 871,365,122 = 871,365,122 : x
  2. Step 2: Convert to fraction form
    404,443,742/871,365,122 = 871,365,122/x
  3. Step 3: Cross multiply
    404,443,742x = 871,365,122 × 871,365,122
  4. Step 4: Simplify right side
    404,443,742x = 759,277,175,838,074,880
  5. Step 5: Solve for x
    x = 759,277,175,838,074,880/404,443,742
  6. Step 6: Final answer
    x = 1,877,336,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.