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Finding the Third Proportional to 1,567,465 and 2,207,322

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Solution

The third proportional to 1,567,465 and 2,207,322 is: 3,108,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,465 : 2,207,322 = 2,207,322 : x
  2. Step 2: Convert to fraction form
    1,567,465/2,207,322 = 2,207,322/x
  3. Step 3: Cross multiply
    1,567,465x = 2,207,322 × 2,207,322
  4. Step 4: Simplify right side
    1,567,465x = 4,872,270,411,684
  5. Step 5: Solve for x
    x = 4,872,270,411,684/1,567,465
  6. Step 6: Final answer
    x = 3,108,375.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.