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Finding the Third Proportional to 1,014,384 and 1,569,888

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Solution

The third proportional to 1,014,384 and 1,569,888 is: 2,429,600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,384 : 1,569,888 = 1,569,888 : x
  2. Step 2: Convert to fraction form
    1,014,384/1,569,888 = 1,569,888/x
  3. Step 3: Cross multiply
    1,014,384x = 1,569,888 × 1,569,888
  4. Step 4: Simplify right side
    1,014,384x = 2,464,548,332,544
  5. Step 5: Solve for x
    x = 2,464,548,332,544/1,014,384
  6. Step 6: Final answer
    x = 2,429,600.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.