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Finding the Third Proportional to 1,729,232 and 2,762,488

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Solution

The third proportional to 1,729,232 and 2,762,488 is: 4,413,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,232 : 2,762,488 = 2,762,488 : x
  2. Step 2: Convert to fraction form
    1,729,232/2,762,488 = 2,762,488/x
  3. Step 3: Cross multiply
    1,729,232x = 2,762,488 × 2,762,488
  4. Step 4: Simplify right side
    1,729,232x = 7,631,339,950,144
  5. Step 5: Solve for x
    x = 7,631,339,950,144/1,729,232
  6. Step 6: Final answer
    x = 4,413,138.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.