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Finding the Third Proportional to 501,613,986 and 1,048,965,111

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Solution

The third proportional to 501,613,986 and 1,048,965,111 is: 2,193,574,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,613,986 : 1,048,965,111 = 1,048,965,111 : x
  2. Step 2: Convert to fraction form
    501,613,986/1,048,965,111 = 1,048,965,111/x
  3. Step 3: Cross multiply
    501,613,986x = 1,048,965,111 × 1,048,965,111
  4. Step 4: Simplify right side
    501,613,986x = 1,100,327,804,095,242,368
  5. Step 5: Solve for x
    x = 1,100,327,804,095,242,368/501,613,986
  6. Step 6: Final answer
    x = 2,193,574,810.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.