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Finding the Third Proportional to 442,005 and 964,971

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Solution

The third proportional to 442,005 and 964,971 is: 2,106,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,005 : 964,971 = 964,971 : x
  2. Step 2: Convert to fraction form
    442,005/964,971 = 964,971/x
  3. Step 3: Cross multiply
    442,005x = 964,971 × 964,971
  4. Step 4: Simplify right side
    442,005x = 931,169,030,841
  5. Step 5: Solve for x
    x = 931,169,030,841/442,005
  6. Step 6: Final answer
    x = 2,106,693.43

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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.