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Finding the Third Proportional to 853,776 and 1,201,248

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Solution

The third proportional to 853,776 and 1,201,248 is: 1,690,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,776 : 1,201,248 = 1,201,248 : x
  2. Step 2: Convert to fraction form
    853,776/1,201,248 = 1,201,248/x
  3. Step 3: Cross multiply
    853,776x = 1,201,248 × 1,201,248
  4. Step 4: Simplify right side
    853,776x = 1,442,996,757,504
  5. Step 5: Solve for x
    x = 1,442,996,757,504/853,776
  6. Step 6: Final answer
    x = 1,690,135.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.