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Finding the Third Proportional to 3,477,266 and 5,111,710

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Solution

The third proportional to 3,477,266 and 5,111,710 is: 7,514,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,266 : 5,111,710 = 5,111,710 : x
  2. Step 2: Convert to fraction form
    3,477,266/5,111,710 = 5,111,710/x
  3. Step 3: Cross multiply
    3,477,266x = 5,111,710 × 5,111,710
  4. Step 4: Simplify right side
    3,477,266x = 26,129,579,124,100
  5. Step 5: Solve for x
    x = 26,129,579,124,100/3,477,266
  6. Step 6: Final answer
    x = 7,514,403.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.