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Finding the Third Proportional to 771,203 and 1,231,527

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Solution

The third proportional to 771,203 and 1,231,527 is: 1,966,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,203 : 1,231,527 = 1,231,527 : x
  2. Step 2: Convert to fraction form
    771,203/1,231,527 = 1,231,527/x
  3. Step 3: Cross multiply
    771,203x = 1,231,527 × 1,231,527
  4. Step 4: Simplify right side
    771,203x = 1,516,658,751,729
  5. Step 5: Solve for x
    x = 1,516,658,751,729/771,203
  6. Step 6: Final answer
    x = 1,966,614.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.