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Finding the Third Proportional to 709,328 and 1,556,464

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Solution

The third proportional to 709,328 and 1,556,464 is: 3,415,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,328 : 1,556,464 = 1,556,464 : x
  2. Step 2: Convert to fraction form
    709,328/1,556,464 = 1,556,464/x
  3. Step 3: Cross multiply
    709,328x = 1,556,464 × 1,556,464
  4. Step 4: Simplify right side
    709,328x = 2,422,580,183,296
  5. Step 5: Solve for x
    x = 2,422,580,183,296/709,328
  6. Step 6: Final answer
    x = 3,415,317.29

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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.