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Finding the Third Proportional to 683,302 and 1,061,646

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Solution

The third proportional to 683,302 and 1,061,646 is: 1,649,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,302 : 1,061,646 = 1,061,646 : x
  2. Step 2: Convert to fraction form
    683,302/1,061,646 = 1,061,646/x
  3. Step 3: Cross multiply
    683,302x = 1,061,646 × 1,061,646
  4. Step 4: Simplify right side
    683,302x = 1,127,092,229,316
  5. Step 5: Solve for x
    x = 1,127,092,229,316/683,302
  6. Step 6: Final answer
    x = 1,649,478.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.