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Finding the Third Proportional to 646,146 and 1,324,532

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Solution

The third proportional to 646,146 and 1,324,532 is: 2,715,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,146 : 1,324,532 = 1,324,532 : x
  2. Step 2: Convert to fraction form
    646,146/1,324,532 = 1,324,532/x
  3. Step 3: Cross multiply
    646,146x = 1,324,532 × 1,324,532
  4. Step 4: Simplify right side
    646,146x = 1,754,385,019,024
  5. Step 5: Solve for x
    x = 1,754,385,019,024/646,146
  6. Step 6: Final answer
    x = 2,715,152.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.