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Finding the Third Proportional to 454,082 and 973,363

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Solution

The third proportional to 454,082 and 973,363 is: 2,086,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,082 : 973,363 = 973,363 : x
  2. Step 2: Convert to fraction form
    454,082/973,363 = 973,363/x
  3. Step 3: Cross multiply
    454,082x = 973,363 × 973,363
  4. Step 4: Simplify right side
    454,082x = 947,435,529,769
  5. Step 5: Solve for x
    x = 947,435,529,769/454,082
  6. Step 6: Final answer
    x = 2,086,485.55

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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.