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Finding the Third Proportional to 2,804,033 and 4,201,315

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Solution

The third proportional to 2,804,033 and 4,201,315 is: 6,294,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804,033 : 4,201,315 = 4,201,315 : x
  2. Step 2: Convert to fraction form
    2,804,033/4,201,315 = 4,201,315/x
  3. Step 3: Cross multiply
    2,804,033x = 4,201,315 × 4,201,315
  4. Step 4: Simplify right side
    2,804,033x = 17,651,047,729,225
  5. Step 5: Solve for x
    x = 17,651,047,729,225/2,804,033
  6. Step 6: Final answer
    x = 6,294,878.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.