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Finding the Third Proportional to 518,560 and 1,109,056

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Solution

The third proportional to 518,560 and 1,109,056 is: 2,371,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,560 : 1,109,056 = 1,109,056 : x
  2. Step 2: Convert to fraction form
    518,560/1,109,056 = 1,109,056/x
  3. Step 3: Cross multiply
    518,560x = 1,109,056 × 1,109,056
  4. Step 4: Simplify right side
    518,560x = 1,230,005,211,136
  5. Step 5: Solve for x
    x = 1,230,005,211,136/518,560
  6. Step 6: Final answer
    x = 2,371,963.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.