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Finding the Third Proportional to 1,312,458 and 2,056,164

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Solution

The third proportional to 1,312,458 and 2,056,164 is: 3,221,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,458 : 2,056,164 = 2,056,164 : x
  2. Step 2: Convert to fraction form
    1,312,458/2,056,164 = 2,056,164/x
  3. Step 3: Cross multiply
    1,312,458x = 2,056,164 × 2,056,164
  4. Step 4: Simplify right side
    1,312,458x = 4,227,810,394,896
  5. Step 5: Solve for x
    x = 4,227,810,394,896/1,312,458
  6. Step 6: Final answer
    x = 3,221,291.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.