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Finding the Third Proportional to 504,946 and 1,088,620

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Solution

The third proportional to 504,946 and 1,088,620 is: 2,346,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,946 : 1,088,620 = 1,088,620 : x
  2. Step 2: Convert to fraction form
    504,946/1,088,620 = 1,088,620/x
  3. Step 3: Cross multiply
    504,946x = 1,088,620 × 1,088,620
  4. Step 4: Simplify right side
    504,946x = 1,185,093,504,400
  5. Step 5: Solve for x
    x = 1,185,093,504,400/504,946
  6. Step 6: Final answer
    x = 2,346,970.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.