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Finding the Third Proportional to 880,315 and 1,855,205

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Solution

The third proportional to 880,315 and 1,855,205 is: 3,909,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,315 : 1,855,205 = 1,855,205 : x
  2. Step 2: Convert to fraction form
    880,315/1,855,205 = 1,855,205/x
  3. Step 3: Cross multiply
    880,315x = 1,855,205 × 1,855,205
  4. Step 4: Simplify right side
    880,315x = 3,441,785,592,025
  5. Step 5: Solve for x
    x = 3,441,785,592,025/880,315
  6. Step 6: Final answer
    x = 3,909,720.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.