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Finding the Third Proportional to 1,415,740 and 3,080,312

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Solution

The third proportional to 1,415,740 and 3,080,312 is: 6,702,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,740 : 3,080,312 = 3,080,312 : x
  2. Step 2: Convert to fraction form
    1,415,740/3,080,312 = 3,080,312/x
  3. Step 3: Cross multiply
    1,415,740x = 3,080,312 × 3,080,312
  4. Step 4: Simplify right side
    1,415,740x = 9,488,322,017,344
  5. Step 5: Solve for x
    x = 9,488,322,017,344/1,415,740
  6. Step 6: Final answer
    x = 6,702,022.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.