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Finding the Third Proportional to 490,210,503 and 1,057,888,980

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Solution

The third proportional to 490,210,503 and 1,057,888,980 is: 2,282,956,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,210,503 : 1,057,888,980 = 1,057,888,980 : x
  2. Step 2: Convert to fraction form
    490,210,503/1,057,888,980 = 1,057,888,980/x
  3. Step 3: Cross multiply
    490,210,503x = 1,057,888,980 × 1,057,888,980
  4. Step 4: Simplify right side
    490,210,503x = 1,119,129,094,005,440,384
  5. Step 5: Solve for x
    x = 1,119,129,094,005,440,384/490,210,503
  6. Step 6: Final answer
    x = 2,282,956,173.23

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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.