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Finding the Third Proportional to 601,752 and 1,281,480

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Solution

The third proportional to 601,752 and 1,281,480 is: 2,729,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,752 : 1,281,480 = 1,281,480 : x
  2. Step 2: Convert to fraction form
    601,752/1,281,480 = 1,281,480/x
  3. Step 3: Cross multiply
    601,752x = 1,281,480 × 1,281,480
  4. Step 4: Simplify right side
    601,752x = 1,642,190,990,400
  5. Step 5: Solve for x
    x = 1,642,190,990,400/601,752
  6. Step 6: Final answer
    x = 2,729,016.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.