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Finding the Third Proportional to 490,210,398 and 1,057,888,944

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Solution

The third proportional to 490,210,398 and 1,057,888,944 is: 2,282,956,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,210,398 : 1,057,888,944 = 1,057,888,944 : x
  2. Step 2: Convert to fraction form
    490,210,398/1,057,888,944 = 1,057,888,944/x
  3. Step 3: Cross multiply
    490,210,398x = 1,057,888,944 × 1,057,888,944
  4. Step 4: Simplify right side
    490,210,398x = 1,119,129,017,837,435,136
  5. Step 5: Solve for x
    x = 1,119,129,017,837,435,136/490,210,398
  6. Step 6: Final answer
    x = 2,282,956,506.85

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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.