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Finding the Third Proportional to 1,017,051.19 and 1,538,701.31

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Solution

The third proportional to 1,017,051.19 and 1,538,701.31 is: 2,327,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,051.19 : 1,538,701.31 = 1,538,701.31 : x
  2. Step 2: Convert to fraction form
    1,017,051.19/1,538,701.31 = 1,538,701.31/x
  3. Step 3: Cross multiply
    1,017,051.19x = 1,538,701.31 × 1,538,701.31
  4. Step 4: Simplify right side
    1,017,051.19x = 2,367,601,729,089.22
  5. Step 5: Solve for x
    x = 2,367,601,729,089.22/1,017,051.19
  6. Step 6: Final answer
    x = 2,327,908.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.