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Finding the Third Proportional to 1,974,018 and 4,286,284

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Solution

The third proportional to 1,974,018 and 4,286,284 is: 9,307,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,018 : 4,286,284 = 4,286,284 : x
  2. Step 2: Convert to fraction form
    1,974,018/4,286,284 = 4,286,284/x
  3. Step 3: Cross multiply
    1,974,018x = 4,286,284 × 4,286,284
  4. Step 4: Simplify right side
    1,974,018x = 18,372,230,528,656
  5. Step 5: Solve for x
    x = 18,372,230,528,656/1,974,018
  6. Step 6: Final answer
    x = 9,307,022.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.