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Finding the Third Proportional to 1,597,509 and 2,412,895.50

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Solution

The third proportional to 1,597,509 and 2,412,895.50 is: 3,644,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,509 : 2,412,895.50 = 2,412,895.50 : x
  2. Step 2: Convert to fraction form
    1,597,509/2,412,895.50 = 2,412,895.50/x
  3. Step 3: Cross multiply
    1,597,509x = 2,412,895.50 × 2,412,895.50
  4. Step 4: Simplify right side
    1,597,509x = 5,822,064,693,920.25
  5. Step 5: Solve for x
    x = 5,822,064,693,920.25/1,597,509
  6. Step 6: Final answer
    x = 3,644,464.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.