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Finding the Third Proportional to 894,483 and 1,946,430

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Solution

The third proportional to 894,483 and 1,946,430 is: 4,235,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,483 : 1,946,430 = 1,946,430 : x
  2. Step 2: Convert to fraction form
    894,483/1,946,430 = 1,946,430/x
  3. Step 3: Cross multiply
    894,483x = 1,946,430 × 1,946,430
  4. Step 4: Simplify right side
    894,483x = 3,788,589,744,900
  5. Step 5: Solve for x
    x = 3,788,589,744,900/894,483
  6. Step 6: Final answer
    x = 4,235,507.82

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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.