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Finding the Third Proportional to 418,008 and 895,083

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Solution

The third proportional to 418,008 and 895,083 is: 1,916,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,008 : 895,083 = 895,083 : x
  2. Step 2: Convert to fraction form
    418,008/895,083 = 895,083/x
  3. Step 3: Cross multiply
    418,008x = 895,083 × 895,083
  4. Step 4: Simplify right side
    418,008x = 801,173,576,889
  5. Step 5: Solve for x
    x = 801,173,576,889/418,008
  6. Step 6: Final answer
    x = 1,916,646.52

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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.