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Finding the Third Proportional to 706,264.75 and 1,544,569.75

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Solution

The third proportional to 706,264.75 and 1,544,569.75 is: 3,377,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,264.75 : 1,544,569.75 = 1,544,569.75 : x
  2. Step 2: Convert to fraction form
    706,264.75/1,544,569.75 = 1,544,569.75/x
  3. Step 3: Cross multiply
    706,264.75x = 1,544,569.75 × 1,544,569.75
  4. Step 4: Simplify right side
    706,264.75x = 2,385,695,712,615.06
  5. Step 5: Solve for x
    x = 2,385,695,712,615.06/706,264.75
  6. Step 6: Final answer
    x = 3,377,905.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.