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Finding the Third Proportional to 2,596,120 and 3,872,576

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Solution

The third proportional to 2,596,120 and 3,872,576 is: 5,776,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,120 : 3,872,576 = 3,872,576 : x
  2. Step 2: Convert to fraction form
    2,596,120/3,872,576 = 3,872,576/x
  3. Step 3: Cross multiply
    2,596,120x = 3,872,576 × 3,872,576
  4. Step 4: Simplify right side
    2,596,120x = 14,996,844,875,776
  5. Step 5: Solve for x
    x = 14,996,844,875,776/2,596,120
  6. Step 6: Final answer
    x = 5,776,637.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.