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Finding the Third Proportional to 689,914 and 1,030,611

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Solution

The third proportional to 689,914 and 1,030,611 is: 1,539,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,914 : 1,030,611 = 1,030,611 : x
  2. Step 2: Convert to fraction form
    689,914/1,030,611 = 1,030,611/x
  3. Step 3: Cross multiply
    689,914x = 1,030,611 × 1,030,611
  4. Step 4: Simplify right side
    689,914x = 1,062,159,033,321
  5. Step 5: Solve for x
    x = 1,062,159,033,321/689,914
  6. Step 6: Final answer
    x = 1,539,552.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.