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Finding the Third Proportional to 405,297 and 881,946

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Solution

The third proportional to 405,297 and 881,946 is: 1,919,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297 : 881,946 = 881,946 : x
  2. Step 2: Convert to fraction form
    405,297/881,946 = 881,946/x
  3. Step 3: Cross multiply
    405,297x = 881,946 × 881,946
  4. Step 4: Simplify right side
    405,297x = 777,828,746,916
  5. Step 5: Solve for x
    x = 777,828,746,916/405,297
  6. Step 6: Final answer
    x = 1,919,157.43

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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.