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Finding the Third Proportional to 1,597,509 and 3,487,749.75

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Solution

The third proportional to 1,597,509 and 3,487,749.75 is: 7,614,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,509 : 3,487,749.75 = 3,487,749.75 : x
  2. Step 2: Convert to fraction form
    1,597,509/3,487,749.75 = 3,487,749.75/x
  3. Step 3: Cross multiply
    1,597,509x = 3,487,749.75 × 3,487,749.75
  4. Step 4: Simplify right side
    1,597,509x = 12,164,398,318,625.06
  5. Step 5: Solve for x
    x = 12,164,398,318,625.06/1,597,509
  6. Step 6: Final answer
    x = 7,614,603.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.