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Finding the Third Proportional to 446,948 and 977,452

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Solution

The third proportional to 446,948 and 977,452 is: 2,137,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,948 : 977,452 = 977,452 : x
  2. Step 2: Convert to fraction form
    446,948/977,452 = 977,452/x
  3. Step 3: Cross multiply
    446,948x = 977,452 × 977,452
  4. Step 4: Simplify right side
    446,948x = 955,412,412,304
  5. Step 5: Solve for x
    x = 955,412,412,304/446,948
  6. Step 6: Final answer
    x = 2,137,636.62

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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.