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Finding the Third Proportional to 711,003 and 1,006,043

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Solution

The third proportional to 711,003 and 1,006,043 is: 1,423,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,003 : 1,006,043 = 1,006,043 : x
  2. Step 2: Convert to fraction form
    711,003/1,006,043 = 1,006,043/x
  3. Step 3: Cross multiply
    711,003x = 1,006,043 × 1,006,043
  4. Step 4: Simplify right side
    711,003x = 1,012,122,517,849
  5. Step 5: Solve for x
    x = 1,012,122,517,849/711,003
  6. Step 6: Final answer
    x = 1,423,513.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.