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Finding the Third Proportional to 446,883 and 977,321

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Solution

The third proportional to 446,883 and 977,321 is: 2,137,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,883 : 977,321 = 977,321 : x
  2. Step 2: Convert to fraction form
    446,883/977,321 = 977,321/x
  3. Step 3: Cross multiply
    446,883x = 977,321 × 977,321
  4. Step 4: Simplify right side
    446,883x = 955,156,337,041
  5. Step 5: Solve for x
    x = 955,156,337,041/446,883
  6. Step 6: Final answer
    x = 2,137,374.52

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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.