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Finding the Third Proportional to 748,948 and 1,602,872

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Solution

The third proportional to 748,948 and 1,602,872 is: 3,430,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,948 : 1,602,872 = 1,602,872 : x
  2. Step 2: Convert to fraction form
    748,948/1,602,872 = 1,602,872/x
  3. Step 3: Cross multiply
    748,948x = 1,602,872 × 1,602,872
  4. Step 4: Simplify right side
    748,948x = 2,569,198,648,384
  5. Step 5: Solve for x
    x = 2,569,198,648,384/748,948
  6. Step 6: Final answer
    x = 3,430,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.