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Finding the Third Proportional to 683,478 and 1,596,914

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Solution

The third proportional to 683,478 and 1,596,914 is: 3,731,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,478 : 1,596,914 = 1,596,914 : x
  2. Step 2: Convert to fraction form
    683,478/1,596,914 = 1,596,914/x
  3. Step 3: Cross multiply
    683,478x = 1,596,914 × 1,596,914
  4. Step 4: Simplify right side
    683,478x = 2,550,134,323,396
  5. Step 5: Solve for x
    x = 2,550,134,323,396/683,478
  6. Step 6: Final answer
    x = 3,731,113.98

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.