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Finding the Third Proportional to 786,386 and 1,705,936

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Solution

The third proportional to 786,386 and 1,705,936 is: 3,700,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,386 : 1,705,936 = 1,705,936 : x
  2. Step 2: Convert to fraction form
    786,386/1,705,936 = 1,705,936/x
  3. Step 3: Cross multiply
    786,386x = 1,705,936 × 1,705,936
  4. Step 4: Simplify right side
    786,386x = 2,910,217,636,096
  5. Step 5: Solve for x
    x = 2,910,217,636,096/786,386
  6. Step 6: Final answer
    x = 3,700,749.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.