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Finding the Third Proportional to 586,892 and 1,219,702

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Solution

The third proportional to 586,892 and 1,219,702 is: 2,534,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,892 : 1,219,702 = 1,219,702 : x
  2. Step 2: Convert to fraction form
    586,892/1,219,702 = 1,219,702/x
  3. Step 3: Cross multiply
    586,892x = 1,219,702 × 1,219,702
  4. Step 4: Simplify right side
    586,892x = 1,487,672,968,804
  5. Step 5: Solve for x
    x = 1,487,672,968,804/586,892
  6. Step 6: Final answer
    x = 2,534,832.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.