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Finding the Third Proportional to 711,000 and 1,006,040

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Solution

The third proportional to 711,000 and 1,006,040 is: 1,423,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,000 : 1,006,040 = 1,006,040 : x
  2. Step 2: Convert to fraction form
    711,000/1,006,040 = 1,006,040/x
  3. Step 3: Cross multiply
    711,000x = 1,006,040 × 1,006,040
  4. Step 4: Simplify right side
    711,000x = 1,012,116,481,600
  5. Step 5: Solve for x
    x = 1,012,116,481,600/711,000
  6. Step 6: Final answer
    x = 1,423,511.23

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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.