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Finding the Third Proportional to 689,616 and 1,059,732

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Solution

The third proportional to 689,616 and 1,059,732 is: 1,628,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,616 : 1,059,732 = 1,059,732 : x
  2. Step 2: Convert to fraction form
    689,616/1,059,732 = 1,059,732/x
  3. Step 3: Cross multiply
    689,616x = 1,059,732 × 1,059,732
  4. Step 4: Simplify right side
    689,616x = 1,123,031,911,824
  5. Step 5: Solve for x
    x = 1,123,031,911,824/689,616
  6. Step 6: Final answer
    x = 1,628,488.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.