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Finding the Third Proportional to 518,822 and 1,136,056

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Solution

The third proportional to 518,822 and 1,136,056 is: 2,487,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,822 : 1,136,056 = 1,136,056 : x
  2. Step 2: Convert to fraction form
    518,822/1,136,056 = 1,136,056/x
  3. Step 3: Cross multiply
    518,822x = 1,136,056 × 1,136,056
  4. Step 4: Simplify right side
    518,822x = 1,290,623,235,136
  5. Step 5: Solve for x
    x = 1,290,623,235,136/518,822
  6. Step 6: Final answer
    x = 2,487,603.14

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Why These Related Problems?

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