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Finding the Third Proportional to 459,545 and 997,550

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Solution

The third proportional to 459,545 and 997,550 is: 2,165,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,545 : 997,550 = 997,550 : x
  2. Step 2: Convert to fraction form
    459,545/997,550 = 997,550/x
  3. Step 3: Cross multiply
    459,545x = 997,550 × 997,550
  4. Step 4: Simplify right side
    459,545x = 995,106,002,500
  5. Step 5: Solve for x
    x = 995,106,002,500/459,545
  6. Step 6: Final answer
    x = 2,165,415.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.