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Finding the Third Proportional to 762,985 and 1,644,063

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Solution

The third proportional to 762,985 and 1,644,063 is: 3,542,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,985 : 1,644,063 = 1,644,063 : x
  2. Step 2: Convert to fraction form
    762,985/1,644,063 = 1,644,063/x
  3. Step 3: Cross multiply
    762,985x = 1,644,063 × 1,644,063
  4. Step 4: Simplify right side
    762,985x = 2,702,943,147,969
  5. Step 5: Solve for x
    x = 2,702,943,147,969/762,985
  6. Step 6: Final answer
    x = 3,542,590.15

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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.