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Finding the Third Proportional to 948,968 and 2,073,040

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Solution

The third proportional to 948,968 and 2,073,040 is: 4,528,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,968 : 2,073,040 = 2,073,040 : x
  2. Step 2: Convert to fraction form
    948,968/2,073,040 = 2,073,040/x
  3. Step 3: Cross multiply
    948,968x = 2,073,040 × 2,073,040
  4. Step 4: Simplify right side
    948,968x = 4,297,494,841,600
  5. Step 5: Solve for x
    x = 4,297,494,841,600/948,968
  6. Step 6: Final answer
    x = 4,528,598.27

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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.