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Finding the Third Proportional to 709,971 and 1,528,199

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Solution

The third proportional to 709,971 and 1,528,199 is: 3,289,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,971 : 1,528,199 = 1,528,199 : x
  2. Step 2: Convert to fraction form
    709,971/1,528,199 = 1,528,199/x
  3. Step 3: Cross multiply
    709,971x = 1,528,199 × 1,528,199
  4. Step 4: Simplify right side
    709,971x = 2,335,392,183,601
  5. Step 5: Solve for x
    x = 2,335,392,183,601/709,971
  6. Step 6: Final answer
    x = 3,289,419.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.