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Finding the Third Proportional to 2,358,740 and 3,534,412

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Solution

The third proportional to 2,358,740 and 3,534,412 is: 5,296,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,740 : 3,534,412 = 3,534,412 : x
  2. Step 2: Convert to fraction form
    2,358,740/3,534,412 = 3,534,412/x
  3. Step 3: Cross multiply
    2,358,740x = 3,534,412 × 3,534,412
  4. Step 4: Simplify right side
    2,358,740x = 12,492,068,185,744
  5. Step 5: Solve for x
    x = 12,492,068,185,744/2,358,740
  6. Step 6: Final answer
    x = 5,296,076.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.