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Finding the Third Proportional to 770,088 and 1,197,020

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Solution

The third proportional to 770,088 and 1,197,020 is: 1,860,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,088 : 1,197,020 = 1,197,020 : x
  2. Step 2: Convert to fraction form
    770,088/1,197,020 = 1,197,020/x
  3. Step 3: Cross multiply
    770,088x = 1,197,020 × 1,197,020
  4. Step 4: Simplify right side
    770,088x = 1,432,856,880,400
  5. Step 5: Solve for x
    x = 1,432,856,880,400/770,088
  6. Step 6: Final answer
    x = 1,860,640.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.