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Finding the Third Proportional to 464,914 and 982,052

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Solution

The third proportional to 464,914 and 982,052 is: 2,074,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,914 : 982,052 = 982,052 : x
  2. Step 2: Convert to fraction form
    464,914/982,052 = 982,052/x
  3. Step 3: Cross multiply
    464,914x = 982,052 × 982,052
  4. Step 4: Simplify right side
    464,914x = 964,426,130,704
  5. Step 5: Solve for x
    x = 964,426,130,704/464,914
  6. Step 6: Final answer
    x = 2,074,418.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.