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Finding the Third Proportional to 565,565 and 1,229,299

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Solution

The third proportional to 565,565 and 1,229,299 is: 2,671,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,565 : 1,229,299 = 1,229,299 : x
  2. Step 2: Convert to fraction form
    565,565/1,229,299 = 1,229,299/x
  3. Step 3: Cross multiply
    565,565x = 1,229,299 × 1,229,299
  4. Step 4: Simplify right side
    565,565x = 1,511,176,031,401
  5. Step 5: Solve for x
    x = 1,511,176,031,401/565,565
  6. Step 6: Final answer
    x = 2,671,975.87

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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.