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Finding the Third Proportional to 3,831,712 and 6,385,931

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Solution

The third proportional to 3,831,712 and 6,385,931 is: 10,642,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,712 : 6,385,931 = 6,385,931 : x
  2. Step 2: Convert to fraction form
    3,831,712/6,385,931 = 6,385,931/x
  3. Step 3: Cross multiply
    3,831,712x = 6,385,931 × 6,385,931
  4. Step 4: Simplify right side
    3,831,712x = 40,780,114,736,761
  5. Step 5: Solve for x
    x = 40,780,114,736,761/3,831,712
  6. Step 6: Final answer
    x = 10,642,792.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.