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Finding the Third Proportional to 894,609 and 1,424,897

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Solution

The third proportional to 894,609 and 1,424,897 is: 2,269,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,609 : 1,424,897 = 1,424,897 : x
  2. Step 2: Convert to fraction form
    894,609/1,424,897 = 1,424,897/x
  3. Step 3: Cross multiply
    894,609x = 1,424,897 × 1,424,897
  4. Step 4: Simplify right side
    894,609x = 2,030,331,460,609
  5. Step 5: Solve for x
    x = 2,030,331,460,609/894,609
  6. Step 6: Final answer
    x = 2,269,518.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.