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Finding the Third Proportional to 524,952 and 1,084,895

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Solution

The third proportional to 524,952 and 1,084,895 is: 2,242,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,952 : 1,084,895 = 1,084,895 : x
  2. Step 2: Convert to fraction form
    524,952/1,084,895 = 1,084,895/x
  3. Step 3: Cross multiply
    524,952x = 1,084,895 × 1,084,895
  4. Step 4: Simplify right side
    524,952x = 1,176,997,161,025
  5. Step 5: Solve for x
    x = 1,176,997,161,025/524,952
  6. Step 6: Final answer
    x = 2,242,104.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.