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Finding the Third Proportional to 1,974,402 and 2,985,903

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Solution

The third proportional to 1,974,402 and 2,985,903 is: 4,515,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,402 : 2,985,903 = 2,985,903 : x
  2. Step 2: Convert to fraction form
    1,974,402/2,985,903 = 2,985,903/x
  3. Step 3: Cross multiply
    1,974,402x = 2,985,903 × 2,985,903
  4. Step 4: Simplify right side
    1,974,402x = 8,915,616,725,409
  5. Step 5: Solve for x
    x = 8,915,616,725,409/1,974,402
  6. Step 6: Final answer
    x = 4,515,603.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.