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Finding the Third Proportional to 446,881 and 977,317

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Solution

The third proportional to 446,881 and 977,317 is: 2,137,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,881 : 977,317 = 977,317 : x
  2. Step 2: Convert to fraction form
    446,881/977,317 = 977,317/x
  3. Step 3: Cross multiply
    446,881x = 977,317 × 977,317
  4. Step 4: Simplify right side
    446,881x = 955,148,518,489
  5. Step 5: Solve for x
    x = 955,148,518,489/446,881
  6. Step 6: Final answer
    x = 2,137,366.59

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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.