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Finding the Third Proportional to 455,466 and 973,988

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Solution

The third proportional to 455,466 and 973,988 is: 2,082,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,466 : 973,988 = 973,988 : x
  2. Step 2: Convert to fraction form
    455,466/973,988 = 973,988/x
  3. Step 3: Cross multiply
    455,466x = 973,988 × 973,988
  4. Step 4: Simplify right side
    455,466x = 948,652,624,144
  5. Step 5: Solve for x
    x = 948,652,624,144/455,466
  6. Step 6: Final answer
    x = 2,082,817.65

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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.