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Finding the Third Proportional to 622,564 and 1,406,794

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Solution

The third proportional to 622,564 and 1,406,794 is: 3,178,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,564 : 1,406,794 = 1,406,794 : x
  2. Step 2: Convert to fraction form
    622,564/1,406,794 = 1,406,794/x
  3. Step 3: Cross multiply
    622,564x = 1,406,794 × 1,406,794
  4. Step 4: Simplify right side
    622,564x = 1,979,069,358,436
  5. Step 5: Solve for x
    x = 1,979,069,358,436/622,564
  6. Step 6: Final answer
    x = 3,178,901.06

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.