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Finding the Third Proportional to 651,152 and 1,407,576

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Solution

The third proportional to 651,152 and 1,407,576 is: 3,042,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,152 : 1,407,576 = 1,407,576 : x
  2. Step 2: Convert to fraction form
    651,152/1,407,576 = 1,407,576/x
  3. Step 3: Cross multiply
    651,152x = 1,407,576 × 1,407,576
  4. Step 4: Simplify right side
    651,152x = 1,981,270,195,776
  5. Step 5: Solve for x
    x = 1,981,270,195,776/651,152
  6. Step 6: Final answer
    x = 3,042,715.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.