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Finding the Third Proportional to 2,030,859 and 4,460,319

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Solution

The third proportional to 2,030,859 and 4,460,319 is: 9,796,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,859 : 4,460,319 = 4,460,319 : x
  2. Step 2: Convert to fraction form
    2,030,859/4,460,319 = 4,460,319/x
  3. Step 3: Cross multiply
    2,030,859x = 4,460,319 × 4,460,319
  4. Step 4: Simplify right side
    2,030,859x = 19,894,445,581,761
  5. Step 5: Solve for x
    x = 19,894,445,581,761/2,030,859
  6. Step 6: Final answer
    x = 9,796,074.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.