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Finding the Third Proportional to 1,656,669 and 3,623,514

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Solution

The third proportional to 1,656,669 and 3,623,514 is: 7,925,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,669 : 3,623,514 = 3,623,514 : x
  2. Step 2: Convert to fraction form
    1,656,669/3,623,514 = 3,623,514/x
  3. Step 3: Cross multiply
    1,656,669x = 3,623,514 × 3,623,514
  4. Step 4: Simplify right side
    1,656,669x = 13,129,853,708,196
  5. Step 5: Solve for x
    x = 13,129,853,708,196/1,656,669
  6. Step 6: Final answer
    x = 7,925,453.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.