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Finding the Third Proportional to 707,188 and 1,526,399

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Solution

The third proportional to 707,188 and 1,526,399 is: 3,294,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,188 : 1,526,399 = 1,526,399 : x
  2. Step 2: Convert to fraction form
    707,188/1,526,399 = 1,526,399/x
  3. Step 3: Cross multiply
    707,188x = 1,526,399 × 1,526,399
  4. Step 4: Simplify right side
    707,188x = 2,329,893,907,201
  5. Step 5: Solve for x
    x = 2,329,893,907,201/707,188
  6. Step 6: Final answer
    x = 3,294,589.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.