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Finding the Third Proportional to 445,664 and 960,629

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Solution

The third proportional to 445,664 and 960,629 is: 2,070,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,664 : 960,629 = 960,629 : x
  2. Step 2: Convert to fraction form
    445,664/960,629 = 960,629/x
  3. Step 3: Cross multiply
    445,664x = 960,629 × 960,629
  4. Step 4: Simplify right side
    445,664x = 922,808,075,641
  5. Step 5: Solve for x
    x = 922,808,075,641/445,664
  6. Step 6: Final answer
    x = 2,070,636.34

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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.