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Finding the Third Proportional to 707,493 and 1,000,140

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Solution

The third proportional to 707,493 and 1,000,140 is: 1,413,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,493 : 1,000,140 = 1,000,140 : x
  2. Step 2: Convert to fraction form
    707,493/1,000,140 = 1,000,140/x
  3. Step 3: Cross multiply
    707,493x = 1,000,140 × 1,000,140
  4. Step 4: Simplify right side
    707,493x = 1,000,280,019,600
  5. Step 5: Solve for x
    x = 1,000,280,019,600/707,493
  6. Step 6: Final answer
    x = 1,413,837.34

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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.