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Finding the Third Proportional to 4,602,629 and 6,903,944

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Solution

The third proportional to 4,602,629 and 6,903,944 is: 10,355,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,629 : 6,903,944 = 6,903,944 : x
  2. Step 2: Convert to fraction form
    4,602,629/6,903,944 = 6,903,944/x
  3. Step 3: Cross multiply
    4,602,629x = 6,903,944 × 6,903,944
  4. Step 4: Simplify right side
    4,602,629x = 47,664,442,755,136
  5. Step 5: Solve for x
    x = 47,664,442,755,136/4,602,629
  6. Step 6: Final answer
    x = 10,355,916.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.