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Finding the Third Proportional to 1,519,374 and 3,242,136

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Solution

The third proportional to 1,519,374 and 3,242,136 is: 6,918,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,374 : 3,242,136 = 3,242,136 : x
  2. Step 2: Convert to fraction form
    1,519,374/3,242,136 = 3,242,136/x
  3. Step 3: Cross multiply
    1,519,374x = 3,242,136 × 3,242,136
  4. Step 4: Simplify right side
    1,519,374x = 10,511,445,842,496
  5. Step 5: Solve for x
    x = 10,511,445,842,496/1,519,374
  6. Step 6: Final answer
    x = 6,918,274.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.