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Finding the Third Proportional to 770,586.75 and 1,220,127.75

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Solution

The third proportional to 770,586.75 and 1,220,127.75 is: 1,931,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,586.75 : 1,220,127.75 = 1,220,127.75 : x
  2. Step 2: Convert to fraction form
    770,586.75/1,220,127.75 = 1,220,127.75/x
  3. Step 3: Cross multiply
    770,586.75x = 1,220,127.75 × 1,220,127.75
  4. Step 4: Simplify right side
    770,586.75x = 1,488,711,726,320.06
  5. Step 5: Solve for x
    x = 1,488,711,726,320.06/770,586.75
  6. Step 6: Final answer
    x = 1,931,919.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.