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Finding the Third Proportional to 1,590,657.75 and 3,365,560.13

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Solution

The third proportional to 1,590,657.75 and 3,365,560.13 is: 7,120,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,657.75 : 3,365,560.13 = 3,365,560.13 : x
  2. Step 2: Convert to fraction form
    1,590,657.75/3,365,560.13 = 3,365,560.13/x
  3. Step 3: Cross multiply
    1,590,657.75x = 3,365,560.13 × 3,365,560.13
  4. Step 4: Simplify right side
    1,590,657.75x = 11,326,994,954,990.02
  5. Step 5: Solve for x
    x = 11,326,994,954,990.02/1,590,657.75
  6. Step 6: Final answer
    x = 7,120,950.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.