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Finding the Third Proportional to 698,487 and 1,496,613

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Solution

The third proportional to 698,487 and 1,496,613 is: 3,206,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,487 : 1,496,613 = 1,496,613 : x
  2. Step 2: Convert to fraction form
    698,487/1,496,613 = 1,496,613/x
  3. Step 3: Cross multiply
    698,487x = 1,496,613 × 1,496,613
  4. Step 4: Simplify right side
    698,487x = 2,239,850,471,769
  5. Step 5: Solve for x
    x = 2,239,850,471,769/698,487
  6. Step 6: Final answer
    x = 3,206,717.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.