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Finding the Third Proportional to 490,210,311 and 1,057,888,779

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Solution

The third proportional to 490,210,311 and 1,057,888,779 is: 2,282,956,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,210,311 : 1,057,888,779 = 1,057,888,779 : x
  2. Step 2: Convert to fraction form
    490,210,311/1,057,888,779 = 1,057,888,779/x
  3. Step 3: Cross multiply
    490,210,311x = 1,057,888,779 × 1,057,888,779
  4. Step 4: Simplify right side
    490,210,311x = 1,119,128,668,734,110,848
  5. Step 5: Solve for x
    x = 1,119,128,668,734,110,848/490,210,311
  6. Step 6: Final answer
    x = 2,282,956,199.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.