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Finding the Third Proportional to 459,131 and 973,840

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Solution

The third proportional to 459,131 and 973,840 is: 2,065,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,131 : 973,840 = 973,840 : x
  2. Step 2: Convert to fraction form
    459,131/973,840 = 973,840/x
  3. Step 3: Cross multiply
    459,131x = 973,840 × 973,840
  4. Step 4: Simplify right side
    459,131x = 948,364,345,600
  5. Step 5: Solve for x
    x = 948,364,345,600/459,131
  6. Step 6: Final answer
    x = 2,065,563.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.