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Finding the Third Proportional to 1,035,170 and 1,580,403

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Solution

The third proportional to 1,035,170 and 1,580,403 is: 2,412,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,170 : 1,580,403 = 1,580,403 : x
  2. Step 2: Convert to fraction form
    1,035,170/1,580,403 = 1,580,403/x
  3. Step 3: Cross multiply
    1,035,170x = 1,580,403 × 1,580,403
  4. Step 4: Simplify right side
    1,035,170x = 2,497,673,642,409
  5. Step 5: Solve for x
    x = 2,497,673,642,409/1,035,170
  6. Step 6: Final answer
    x = 2,412,814.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.