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Finding the Third Proportional to 812,583 and 1,750,038

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Solution

The third proportional to 812,583 and 1,750,038 is: 3,769,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,583 : 1,750,038 = 1,750,038 : x
  2. Step 2: Convert to fraction form
    812,583/1,750,038 = 1,750,038/x
  3. Step 3: Cross multiply
    812,583x = 1,750,038 × 1,750,038
  4. Step 4: Simplify right side
    812,583x = 3,062,633,001,444
  5. Step 5: Solve for x
    x = 3,062,633,001,444/812,583
  6. Step 6: Final answer
    x = 3,769,009.44

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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.