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Finding the Third Proportional to 1,440,280 and 3,102,176

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Solution

The third proportional to 1,440,280 and 3,102,176 is: 6,681,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,280 : 3,102,176 = 3,102,176 : x
  2. Step 2: Convert to fraction form
    1,440,280/3,102,176 = 3,102,176/x
  3. Step 3: Cross multiply
    1,440,280x = 3,102,176 × 3,102,176
  4. Step 4: Simplify right side
    1,440,280x = 9,623,495,934,976
  5. Step 5: Solve for x
    x = 9,623,495,934,976/1,440,280
  6. Step 6: Final answer
    x = 6,681,684.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.