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Finding the Third Proportional to 1,683,135 and 3,702,514.50

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Solution

The third proportional to 1,683,135 and 3,702,514.50 is: 8,144,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,135 : 3,702,514.50 = 3,702,514.50 : x
  2. Step 2: Convert to fraction form
    1,683,135/3,702,514.50 = 3,702,514.50/x
  3. Step 3: Cross multiply
    1,683,135x = 3,702,514.50 × 3,702,514.50
  4. Step 4: Simplify right side
    1,683,135x = 13,708,613,622,710.25
  5. Step 5: Solve for x
    x = 13,708,613,622,710.25/1,683,135
  6. Step 6: Final answer
    x = 8,144,690.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.