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Finding the Third Proportional to 967,442 and 1,525,378

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Solution

The third proportional to 967,442 and 1,525,378 is: 2,405,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,442 : 1,525,378 = 1,525,378 : x
  2. Step 2: Convert to fraction form
    967,442/1,525,378 = 1,525,378/x
  3. Step 3: Cross multiply
    967,442x = 1,525,378 × 1,525,378
  4. Step 4: Simplify right side
    967,442x = 2,326,778,042,884
  5. Step 5: Solve for x
    x = 2,326,778,042,884/967,442
  6. Step 6: Final answer
    x = 2,405,082.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.