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Finding the Third Proportional to 770,080 and 1,197,008

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Solution

The third proportional to 770,080 and 1,197,008 is: 1,860,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,080 : 1,197,008 = 1,197,008 : x
  2. Step 2: Convert to fraction form
    770,080/1,197,008 = 1,197,008/x
  3. Step 3: Cross multiply
    770,080x = 1,197,008 × 1,197,008
  4. Step 4: Simplify right side
    770,080x = 1,432,828,152,064
  5. Step 5: Solve for x
    x = 1,432,828,152,064/770,080
  6. Step 6: Final answer
    x = 1,860,622.47

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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.