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Finding the Third Proportional to 446,897 and 972,418

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Solution

The third proportional to 446,897 and 972,418 is: 2,115,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,897 : 972,418 = 972,418 : x
  2. Step 2: Convert to fraction form
    446,897/972,418 = 972,418/x
  3. Step 3: Cross multiply
    446,897x = 972,418 × 972,418
  4. Step 4: Simplify right side
    446,897x = 945,596,766,724
  5. Step 5: Solve for x
    x = 945,596,766,724/446,897
  6. Step 6: Final answer
    x = 2,115,916.57

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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.