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Finding the Third Proportional to 446,044 and 962,072

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Solution

The third proportional to 446,044 and 962,072 is: 2,075,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,044 : 962,072 = 962,072 : x
  2. Step 2: Convert to fraction form
    446,044/962,072 = 962,072/x
  3. Step 3: Cross multiply
    446,044x = 962,072 × 962,072
  4. Step 4: Simplify right side
    446,044x = 925,582,533,184
  5. Step 5: Solve for x
    x = 925,582,533,184/446,044
  6. Step 6: Final answer
    x = 2,075,092.44

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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.