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Finding the Third Proportional to 1,596,704 and 3,442,240

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Solution

The third proportional to 1,596,704 and 3,442,240 is: 7,420,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,704 : 3,442,240 = 3,442,240 : x
  2. Step 2: Convert to fraction form
    1,596,704/3,442,240 = 3,442,240/x
  3. Step 3: Cross multiply
    1,596,704x = 3,442,240 × 3,442,240
  4. Step 4: Simplify right side
    1,596,704x = 11,849,016,217,600
  5. Step 5: Solve for x
    x = 11,849,016,217,600/1,596,704
  6. Step 6: Final answer
    x = 7,420,922.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.