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Finding the Third Proportional to 683,071.88 and 1,019,064.94

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Solution

The third proportional to 683,071.88 and 1,019,064.94 is: 1,520,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,071.88 : 1,019,064.94 = 1,019,064.94 : x
  2. Step 2: Convert to fraction form
    683,071.88/1,019,064.94 = 1,019,064.94/x
  3. Step 3: Cross multiply
    683,071.88x = 1,019,064.94 × 1,019,064.94
  4. Step 4: Simplify right side
    683,071.88x = 1,038,493,346,841.88
  5. Step 5: Solve for x
    x = 1,038,493,346,841.88/683,071.88
  6. Step 6: Final answer
    x = 1,520,328.07

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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.