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Finding the Third Proportional to 1,580,218 and 3,400,265

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Solution

The third proportional to 1,580,218 and 3,400,265 is: 7,316,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,218 : 3,400,265 = 3,400,265 : x
  2. Step 2: Convert to fraction form
    1,580,218/3,400,265 = 3,400,265/x
  3. Step 3: Cross multiply
    1,580,218x = 3,400,265 × 3,400,265
  4. Step 4: Simplify right side
    1,580,218x = 11,561,802,070,225
  5. Step 5: Solve for x
    x = 11,561,802,070,225/1,580,218
  6. Step 6: Final answer
    x = 7,316,586.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.