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Finding the Third Proportional to 688,306 and 1,476,228

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Solution

The third proportional to 688,306 and 1,476,228 is: 3,166,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,306 : 1,476,228 = 1,476,228 : x
  2. Step 2: Convert to fraction form
    688,306/1,476,228 = 1,476,228/x
  3. Step 3: Cross multiply
    688,306x = 1,476,228 × 1,476,228
  4. Step 4: Simplify right side
    688,306x = 2,179,249,107,984
  5. Step 5: Solve for x
    x = 2,179,249,107,984/688,306
  6. Step 6: Final answer
    x = 3,166,105.06

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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.