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Finding the Third Proportional to 425,056 and 924,884

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Solution

The third proportional to 425,056 and 924,884 is: 2,012,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,056 : 924,884 = 924,884 : x
  2. Step 2: Convert to fraction form
    425,056/924,884 = 924,884/x
  3. Step 3: Cross multiply
    425,056x = 924,884 × 924,884
  4. Step 4: Simplify right side
    425,056x = 855,410,413,456
  5. Step 5: Solve for x
    x = 855,410,413,456/425,056
  6. Step 6: Final answer
    x = 2,012,465.21

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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.