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Finding the Third Proportional to 684,058 and 1,499,458

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Solution

The third proportional to 684,058 and 1,499,458 is: 3,286,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,058 : 1,499,458 = 1,499,458 : x
  2. Step 2: Convert to fraction form
    684,058/1,499,458 = 1,499,458/x
  3. Step 3: Cross multiply
    684,058x = 1,499,458 × 1,499,458
  4. Step 4: Simplify right side
    684,058x = 2,248,374,293,764
  5. Step 5: Solve for x
    x = 2,248,374,293,764/684,058
  6. Step 6: Final answer
    x = 3,286,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.