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Finding the Third Proportional to 686,905 and 1,488,217

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Solution

The third proportional to 686,905 and 1,488,217 is: 3,224,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,905 : 1,488,217 = 1,488,217 : x
  2. Step 2: Convert to fraction form
    686,905/1,488,217 = 1,488,217/x
  3. Step 3: Cross multiply
    686,905x = 1,488,217 × 1,488,217
  4. Step 4: Simplify right side
    686,905x = 2,214,789,839,089
  5. Step 5: Solve for x
    x = 2,214,789,839,089/686,905
  6. Step 6: Final answer
    x = 3,224,302.98

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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.