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Finding the Third Proportional to 504,472 and 1,085,480

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Solution

The third proportional to 504,472 and 1,085,480 is: 2,335,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,472 : 1,085,480 = 1,085,480 : x
  2. Step 2: Convert to fraction form
    504,472/1,085,480 = 1,085,480/x
  3. Step 3: Cross multiply
    504,472x = 1,085,480 × 1,085,480
  4. Step 4: Simplify right side
    504,472x = 1,178,266,830,400
  5. Step 5: Solve for x
    x = 1,178,266,830,400/504,472
  6. Step 6: Final answer
    x = 2,335,643.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.