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Finding the Third Proportional to 455,432 and 973,921

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Solution

The third proportional to 455,432 and 973,921 is: 2,082,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,432 : 973,921 = 973,921 : x
  2. Step 2: Convert to fraction form
    455,432/973,921 = 973,921/x
  3. Step 3: Cross multiply
    455,432x = 973,921 × 973,921
  4. Step 4: Simplify right side
    455,432x = 948,522,114,241
  5. Step 5: Solve for x
    x = 948,522,114,241/455,432
  6. Step 6: Final answer
    x = 2,082,686.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.