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Finding the Third Proportional to 408,946 and 893,707

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Solution

The third proportional to 408,946 and 893,707 is: 1,953,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,946 : 893,707 = 893,707 : x
  2. Step 2: Convert to fraction form
    408,946/893,707 = 893,707/x
  3. Step 3: Cross multiply
    408,946x = 893,707 × 893,707
  4. Step 4: Simplify right side
    408,946x = 798,712,201,849
  5. Step 5: Solve for x
    x = 798,712,201,849/408,946
  6. Step 6: Final answer
    x = 1,953,099.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.