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Finding the Third Proportional to 446,740 and 963,460

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Solution

The third proportional to 446,740 and 963,460 is: 2,077,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,740 : 963,460 = 963,460 : x
  2. Step 2: Convert to fraction form
    446,740/963,460 = 963,460/x
  3. Step 3: Cross multiply
    446,740x = 963,460 × 963,460
  4. Step 4: Simplify right side
    446,740x = 928,255,171,600
  5. Step 5: Solve for x
    x = 928,255,171,600/446,740
  6. Step 6: Final answer
    x = 2,077,842.08

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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.