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Finding the Third Proportional to 623,911 and 1,277,322

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Solution

The third proportional to 623,911 and 1,277,322 is: 2,615,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,911 : 1,277,322 = 1,277,322 : x
  2. Step 2: Convert to fraction form
    623,911/1,277,322 = 1,277,322/x
  3. Step 3: Cross multiply
    623,911x = 1,277,322 × 1,277,322
  4. Step 4: Simplify right side
    623,911x = 1,631,551,491,684
  5. Step 5: Solve for x
    x = 1,631,551,491,684/623,911
  6. Step 6: Final answer
    x = 2,615,038.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.