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Finding the Third Proportional to 413,910 and 845,316

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Solution

The third proportional to 413,910 and 845,316 is: 1,726,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,910 : 845,316 = 845,316 : x
  2. Step 2: Convert to fraction form
    413,910/845,316 = 845,316/x
  3. Step 3: Cross multiply
    413,910x = 845,316 × 845,316
  4. Step 4: Simplify right side
    413,910x = 714,559,139,856
  5. Step 5: Solve for x
    x = 714,559,139,856/413,910
  6. Step 6: Final answer
    x = 1,726,363.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.