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Finding the Third Proportional to 446,688 and 972,108

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Solution

The third proportional to 446,688 and 972,108 is: 2,115,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,688 : 972,108 = 972,108 : x
  2. Step 2: Convert to fraction form
    446,688/972,108 = 972,108/x
  3. Step 3: Cross multiply
    446,688x = 972,108 × 972,108
  4. Step 4: Simplify right side
    446,688x = 944,993,963,664
  5. Step 5: Solve for x
    x = 944,993,963,664/446,688
  6. Step 6: Final answer
    x = 2,115,557.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.