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Finding the Third Proportional to 959,051 and 1,432,012

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Solution

The third proportional to 959,051 and 1,432,012 is: 2,138,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,051 : 1,432,012 = 1,432,012 : x
  2. Step 2: Convert to fraction form
    959,051/1,432,012 = 1,432,012/x
  3. Step 3: Cross multiply
    959,051x = 1,432,012 × 1,432,012
  4. Step 4: Simplify right side
    959,051x = 2,050,658,368,144
  5. Step 5: Solve for x
    x = 2,050,658,368,144/959,051
  6. Step 6: Final answer
    x = 2,138,216.18

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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.