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Finding the Third Proportional to 1,580,697 and 2,452,141.50

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Solution

The third proportional to 1,580,697 and 2,452,141.50 is: 3,804,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,697 : 2,452,141.50 = 2,452,141.50 : x
  2. Step 2: Convert to fraction form
    1,580,697/2,452,141.50 = 2,452,141.50/x
  3. Step 3: Cross multiply
    1,580,697x = 2,452,141.50 × 2,452,141.50
  4. Step 4: Simplify right side
    1,580,697x = 6,012,997,936,022.25
  5. Step 5: Solve for x
    x = 6,012,997,936,022.25/1,580,697
  6. Step 6: Final answer
    x = 3,804,016.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.