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Finding the Third Proportional to 1,909,714 and 4,016,036

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Solution

The third proportional to 1,909,714 and 4,016,036 is: 8,445,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,714 : 4,016,036 = 4,016,036 : x
  2. Step 2: Convert to fraction form
    1,909,714/4,016,036 = 4,016,036/x
  3. Step 3: Cross multiply
    1,909,714x = 4,016,036 × 4,016,036
  4. Step 4: Simplify right side
    1,909,714x = 16,128,545,153,296
  5. Step 5: Solve for x
    x = 16,128,545,153,296/1,909,714
  6. Step 6: Final answer
    x = 8,445,529.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.