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Finding the Third Proportional to 709,767 and 1,556,937

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Solution

The third proportional to 709,767 and 1,556,937 is: 3,415,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,767 : 1,556,937 = 1,556,937 : x
  2. Step 2: Convert to fraction form
    709,767/1,556,937 = 1,556,937/x
  3. Step 3: Cross multiply
    709,767x = 1,556,937 × 1,556,937
  4. Step 4: Simplify right side
    709,767x = 2,424,052,821,969
  5. Step 5: Solve for x
    x = 2,424,052,821,969/709,767
  6. Step 6: Final answer
    x = 3,415,279.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.