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Finding the Third Proportional to 2,429,948 and 3,861,944

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Solution

The third proportional to 2,429,948 and 3,861,944 is: 6,137,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,948 : 3,861,944 = 3,861,944 : x
  2. Step 2: Convert to fraction form
    2,429,948/3,861,944 = 3,861,944/x
  3. Step 3: Cross multiply
    2,429,948x = 3,861,944 × 3,861,944
  4. Step 4: Simplify right side
    2,429,948x = 14,914,611,459,136
  5. Step 5: Solve for x
    x = 14,914,611,459,136/2,429,948
  6. Step 6: Final answer
    x = 6,137,831.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.