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Finding the Third Proportional to 770,484 and 1,655,664

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Solution

The third proportional to 770,484 and 1,655,664 is: 3,557,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,484 : 1,655,664 = 1,655,664 : x
  2. Step 2: Convert to fraction form
    770,484/1,655,664 = 1,655,664/x
  3. Step 3: Cross multiply
    770,484x = 1,655,664 × 1,655,664
  4. Step 4: Simplify right side
    770,484x = 2,741,223,280,896
  5. Step 5: Solve for x
    x = 2,741,223,280,896/770,484
  6. Step 6: Final answer
    x = 3,557,793.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.