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Finding the Third Proportional to 1,304,136 and 2,765,280

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Solution

The third proportional to 1,304,136 and 2,765,280 is: 5,863,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,136 : 2,765,280 = 2,765,280 : x
  2. Step 2: Convert to fraction form
    1,304,136/2,765,280 = 2,765,280/x
  3. Step 3: Cross multiply
    1,304,136x = 2,765,280 × 2,765,280
  4. Step 4: Simplify right side
    1,304,136x = 7,646,773,478,400
  5. Step 5: Solve for x
    x = 7,646,773,478,400/1,304,136
  6. Step 6: Final answer
    x = 5,863,478.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.