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Finding the Third Proportional to 601,210 and 900,158

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Solution

The third proportional to 601,210 and 900,158 is: 1,347,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,210 : 900,158 = 900,158 : x
  2. Step 2: Convert to fraction form
    601,210/900,158 = 900,158/x
  3. Step 3: Cross multiply
    601,210x = 900,158 × 900,158
  4. Step 4: Simplify right side
    601,210x = 810,284,424,964
  5. Step 5: Solve for x
    x = 810,284,424,964/601,210
  6. Step 6: Final answer
    x = 1,347,756.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.