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Finding the Third Proportional to 1,285,302.94 and 3,045,108.94

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Solution

The third proportional to 1,285,302.94 and 3,045,108.94 is: 7,214,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,302.94 : 3,045,108.94 = 3,045,108.94 : x
  2. Step 2: Convert to fraction form
    1,285,302.94/3,045,108.94 = 3,045,108.94/x
  3. Step 3: Cross multiply
    1,285,302.94x = 3,045,108.94 × 3,045,108.94
  4. Step 4: Simplify right side
    1,285,302.94x = 9,272,688,441,242.38
  5. Step 5: Solve for x
    x = 9,272,688,441,242.38/1,285,302.94
  6. Step 6: Final answer
    x = 7,214,399.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.