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Finding the Third Proportional to 673,524 and 1,066,302

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Solution

The third proportional to 673,524 and 1,066,302 is: 1,688,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,524 : 1,066,302 = 1,066,302 : x
  2. Step 2: Convert to fraction form
    673,524/1,066,302 = 1,066,302/x
  3. Step 3: Cross multiply
    673,524x = 1,066,302 × 1,066,302
  4. Step 4: Simplify right side
    673,524x = 1,136,999,955,204
  5. Step 5: Solve for x
    x = 1,136,999,955,204/673,524
  6. Step 6: Final answer
    x = 1,688,135.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.