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Finding the Third Proportional to 1,429,080 and 3,146,025

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Solution

The third proportional to 1,429,080 and 3,146,025 is: 6,925,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,080 : 3,146,025 = 3,146,025 : x
  2. Step 2: Convert to fraction form
    1,429,080/3,146,025 = 3,146,025/x
  3. Step 3: Cross multiply
    1,429,080x = 3,146,025 × 3,146,025
  4. Step 4: Simplify right side
    1,429,080x = 9,897,473,300,625
  5. Step 5: Solve for x
    x = 9,897,473,300,625/1,429,080
  6. Step 6: Final answer
    x = 6,925,765.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.