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Finding the Third Proportional to 688,326 and 1,476,295

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Solution

The third proportional to 688,326 and 1,476,295 is: 3,166,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,326 : 1,476,295 = 1,476,295 : x
  2. Step 2: Convert to fraction form
    688,326/1,476,295 = 1,476,295/x
  3. Step 3: Cross multiply
    688,326x = 1,476,295 × 1,476,295
  4. Step 4: Simplify right side
    688,326x = 2,179,446,927,025
  5. Step 5: Solve for x
    x = 2,179,446,927,025/688,326
  6. Step 6: Final answer
    x = 3,166,300.46

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