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Finding the Third Proportional to 1,744,200 and 3,740,580

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Solution

The third proportional to 1,744,200 and 3,740,580 is: 8,021,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,200 : 3,740,580 = 3,740,580 : x
  2. Step 2: Convert to fraction form
    1,744,200/3,740,580 = 3,740,580/x
  3. Step 3: Cross multiply
    1,744,200x = 3,740,580 × 3,740,580
  4. Step 4: Simplify right side
    1,744,200x = 13,991,938,736,400
  5. Step 5: Solve for x
    x = 13,991,938,736,400/1,744,200
  6. Step 6: Final answer
    x = 8,021,980.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.