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Finding the Third Proportional to 765,564 and 1,609,497

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Solution

The third proportional to 765,564 and 1,609,497 is: 3,383,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,564 : 1,609,497 = 1,609,497 : x
  2. Step 2: Convert to fraction form
    765,564/1,609,497 = 1,609,497/x
  3. Step 3: Cross multiply
    765,564x = 1,609,497 × 1,609,497
  4. Step 4: Simplify right side
    765,564x = 2,590,480,593,009
  5. Step 5: Solve for x
    x = 2,590,480,593,009/765,564
  6. Step 6: Final answer
    x = 3,383,754.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.