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Finding the Third Proportional to 464,056 and 988,808

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Solution

The third proportional to 464,056 and 988,808 is: 2,106,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,056 : 988,808 = 988,808 : x
  2. Step 2: Convert to fraction form
    464,056/988,808 = 988,808/x
  3. Step 3: Cross multiply
    464,056x = 988,808 × 988,808
  4. Step 4: Simplify right side
    464,056x = 977,741,260,864
  5. Step 5: Solve for x
    x = 977,741,260,864/464,056
  6. Step 6: Final answer
    x = 2,106,946.71

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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.