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Finding the Third Proportional to 450,085 and 977,442

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Solution

The third proportional to 450,085 and 977,442 is: 2,122,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,085 : 977,442 = 977,442 : x
  2. Step 2: Convert to fraction form
    450,085/977,442 = 977,442/x
  3. Step 3: Cross multiply
    450,085x = 977,442 × 977,442
  4. Step 4: Simplify right side
    450,085x = 955,392,863,364
  5. Step 5: Solve for x
    x = 955,392,863,364/450,085
  6. Step 6: Final answer
    x = 2,122,694.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.