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Finding the Third Proportional to 964,946 and 2,017,924

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Solution

The third proportional to 964,946 and 2,017,924 is: 4,219,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,946 : 2,017,924 = 2,017,924 : x
  2. Step 2: Convert to fraction form
    964,946/2,017,924 = 2,017,924/x
  3. Step 3: Cross multiply
    964,946x = 2,017,924 × 2,017,924
  4. Step 4: Simplify right side
    964,946x = 4,072,017,269,776
  5. Step 5: Solve for x
    x = 4,072,017,269,776/964,946
  6. Step 6: Final answer
    x = 4,219,943.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.