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Finding the Third Proportional to 770,787,094 and 1,098,785,000

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Solution

The third proportional to 770,787,094 and 1,098,785,000 is: 1,566,357,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,787,094 : 1,098,785,000 = 1,098,785,000 : x
  2. Step 2: Convert to fraction form
    770,787,094/1,098,785,000 = 1,098,785,000/x
  3. Step 3: Cross multiply
    770,787,094x = 1,098,785,000 × 1,098,785,000
  4. Step 4: Simplify right side
    770,787,094x = 1,207,328,476,224,999,936
  5. Step 5: Solve for x
    x = 1,207,328,476,224,999,936/770,787,094
  6. Step 6: Final answer
    x = 1,566,357,928.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.