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Finding the Third Proportional to 446,000 and 953,056

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Solution

The third proportional to 446,000 and 953,056 is: 2,036,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,000 : 953,056 = 953,056 : x
  2. Step 2: Convert to fraction form
    446,000/953,056 = 953,056/x
  3. Step 3: Cross multiply
    446,000x = 953,056 × 953,056
  4. Step 4: Simplify right side
    446,000x = 908,315,739,136
  5. Step 5: Solve for x
    x = 908,315,739,136/446,000
  6. Step 6: Final answer
    x = 2,036,582.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.