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Finding the Third Proportional to 1,032,117.19 and 2,197,089.56

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Solution

The third proportional to 1,032,117.19 and 2,197,089.56 is: 4,676,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,117.19 : 2,197,089.56 = 2,197,089.56 : x
  2. Step 2: Convert to fraction form
    1,032,117.19/2,197,089.56 = 2,197,089.56/x
  3. Step 3: Cross multiply
    1,032,117.19x = 2,197,089.56 × 2,197,089.56
  4. Step 4: Simplify right side
    1,032,117.19x = 4,827,202,545,646.44
  5. Step 5: Solve for x
    x = 4,827,202,545,646.44/1,032,117.19
  6. Step 6: Final answer
    x = 4,676,990.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.