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Finding the Third Proportional to 777,264 and 1,698,600

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Solution

The third proportional to 777,264 and 1,698,600 is: 3,712,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,264 : 1,698,600 = 1,698,600 : x
  2. Step 2: Convert to fraction form
    777,264/1,698,600 = 1,698,600/x
  3. Step 3: Cross multiply
    777,264x = 1,698,600 × 1,698,600
  4. Step 4: Simplify right side
    777,264x = 2,885,241,960,000
  5. Step 5: Solve for x
    x = 2,885,241,960,000/777,264
  6. Step 6: Final answer
    x = 3,712,048.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.