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Finding the Third Proportional to 702,228 and 1,556,304

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Solution

The third proportional to 702,228 and 1,556,304 is: 3,449,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,228 : 1,556,304 = 1,556,304 : x
  2. Step 2: Convert to fraction form
    702,228/1,556,304 = 1,556,304/x
  3. Step 3: Cross multiply
    702,228x = 1,556,304 × 1,556,304
  4. Step 4: Simplify right side
    702,228x = 2,422,082,140,416
  5. Step 5: Solve for x
    x = 2,422,082,140,416/702,228
  6. Step 6: Final answer
    x = 3,449,139.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.