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Finding the Third Proportional to 475,371 and 1,036,038

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Solution

The third proportional to 475,371 and 1,036,038 is: 2,257,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,371 : 1,036,038 = 1,036,038 : x
  2. Step 2: Convert to fraction form
    475,371/1,036,038 = 1,036,038/x
  3. Step 3: Cross multiply
    475,371x = 1,036,038 × 1,036,038
  4. Step 4: Simplify right side
    475,371x = 1,073,374,737,444
  5. Step 5: Solve for x
    x = 1,073,374,737,444/475,371
  6. Step 6: Final answer
    x = 2,257,972.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.