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Finding the Third Proportional to 826,705.50 and 1,252,513

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Solution

The third proportional to 826,705.50 and 1,252,513 is: 1,897,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,705.50 : 1,252,513 = 1,252,513 : x
  2. Step 2: Convert to fraction form
    826,705.50/1,252,513 = 1,252,513/x
  3. Step 3: Cross multiply
    826,705.50x = 1,252,513 × 1,252,513
  4. Step 4: Simplify right side
    826,705.50x = 1,568,788,815,169
  5. Step 5: Solve for x
    x = 1,568,788,815,169/826,705.50
  6. Step 6: Final answer
    x = 1,897,639.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.