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Finding the Third Proportional to 1,177,980 and 2,564,540

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Solution

The third proportional to 1,177,980 and 2,564,540 is: 5,583,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,980 : 2,564,540 = 2,564,540 : x
  2. Step 2: Convert to fraction form
    1,177,980/2,564,540 = 2,564,540/x
  3. Step 3: Cross multiply
    1,177,980x = 2,564,540 × 2,564,540
  4. Step 4: Simplify right side
    1,177,980x = 6,576,865,411,600
  5. Step 5: Solve for x
    x = 6,576,865,411,600/1,177,980
  6. Step 6: Final answer
    x = 5,583,172.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.