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Finding the Third Proportional to 2,894,094 and 6,302,484

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Solution

The third proportional to 2,894,094 and 6,302,484 is: 13,724,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,094 : 6,302,484 = 6,302,484 : x
  2. Step 2: Convert to fraction form
    2,894,094/6,302,484 = 6,302,484/x
  3. Step 3: Cross multiply
    2,894,094x = 6,302,484 × 6,302,484
  4. Step 4: Simplify right side
    2,894,094x = 39,721,304,570,256
  5. Step 5: Solve for x
    x = 39,721,304,570,256/2,894,094
  6. Step 6: Final answer
    x = 13,724,953.15

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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.