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Finding the Third Proportional to 620,582 and 948,921

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Solution

The third proportional to 620,582 and 948,921 is: 1,450,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,582 : 948,921 = 948,921 : x
  2. Step 2: Convert to fraction form
    620,582/948,921 = 948,921/x
  3. Step 3: Cross multiply
    620,582x = 948,921 × 948,921
  4. Step 4: Simplify right side
    620,582x = 900,451,064,241
  5. Step 5: Solve for x
    x = 900,451,064,241/620,582
  6. Step 6: Final answer
    x = 1,450,978.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.