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Finding the Third Proportional to 973,968 and 2,125,074

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Solution

The third proportional to 973,968 and 2,125,074 is: 4,636,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,968 : 2,125,074 = 2,125,074 : x
  2. Step 2: Convert to fraction form
    973,968/2,125,074 = 2,125,074/x
  3. Step 3: Cross multiply
    973,968x = 2,125,074 × 2,125,074
  4. Step 4: Simplify right side
    973,968x = 4,515,939,505,476
  5. Step 5: Solve for x
    x = 4,515,939,505,476/973,968
  6. Step 6: Final answer
    x = 4,636,640.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.