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Finding the Third Proportional to 746,982 and 1,602,819

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Solution

The third proportional to 746,982 and 1,602,819 is: 3,439,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,982 : 1,602,819 = 1,602,819 : x
  2. Step 2: Convert to fraction form
    746,982/1,602,819 = 1,602,819/x
  3. Step 3: Cross multiply
    746,982x = 1,602,819 × 1,602,819
  4. Step 4: Simplify right side
    746,982x = 2,569,028,746,761
  5. Step 5: Solve for x
    x = 2,569,028,746,761/746,982
  6. Step 6: Final answer
    x = 3,439,211.05

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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.