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Finding the Third Proportional to 788,549 and 1,235,393

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Solution

The third proportional to 788,549 and 1,235,393 is: 1,935,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,549 : 1,235,393 = 1,235,393 : x
  2. Step 2: Convert to fraction form
    788,549/1,235,393 = 1,235,393/x
  3. Step 3: Cross multiply
    788,549x = 1,235,393 × 1,235,393
  4. Step 4: Simplify right side
    788,549x = 1,526,195,864,449
  5. Step 5: Solve for x
    x = 1,526,195,864,449/788,549
  6. Step 6: Final answer
    x = 1,935,448.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.