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Finding the Third Proportional to 708,936 and 1,529,184

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Solution

The third proportional to 708,936 and 1,529,184 is: 3,298,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,936 : 1,529,184 = 1,529,184 : x
  2. Step 2: Convert to fraction form
    708,936/1,529,184 = 1,529,184/x
  3. Step 3: Cross multiply
    708,936x = 1,529,184 × 1,529,184
  4. Step 4: Simplify right side
    708,936x = 2,338,403,705,856
  5. Step 5: Solve for x
    x = 2,338,403,705,856/708,936
  6. Step 6: Final answer
    x = 3,298,469.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.