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Finding the Third Proportional to 586,082 and 890,355

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Solution

The third proportional to 586,082 and 890,355 is: 1,352,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,082 : 890,355 = 890,355 : x
  2. Step 2: Convert to fraction form
    586,082/890,355 = 890,355/x
  3. Step 3: Cross multiply
    586,082x = 890,355 × 890,355
  4. Step 4: Simplify right side
    586,082x = 792,732,026,025
  5. Step 5: Solve for x
    x = 792,732,026,025/586,082
  6. Step 6: Final answer
    x = 1,352,595.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.