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Finding the Third Proportional to 2,894,920 and 4,258,159

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Solution

The third proportional to 2,894,920 and 4,258,159 is: 6,263,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,920 : 4,258,159 = 4,258,159 : x
  2. Step 2: Convert to fraction form
    2,894,920/4,258,159 = 4,258,159/x
  3. Step 3: Cross multiply
    2,894,920x = 4,258,159 × 4,258,159
  4. Step 4: Simplify right side
    2,894,920x = 18,131,918,069,281
  5. Step 5: Solve for x
    x = 18,131,918,069,281/2,894,920
  6. Step 6: Final answer
    x = 6,263,357.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.