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Finding the Third Proportional to 4,326,297 and 6,786,432

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Solution

The third proportional to 4,326,297 and 6,786,432 is: 10,645,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326,297 : 6,786,432 = 6,786,432 : x
  2. Step 2: Convert to fraction form
    4,326,297/6,786,432 = 6,786,432/x
  3. Step 3: Cross multiply
    4,326,297x = 6,786,432 × 6,786,432
  4. Step 4: Simplify right side
    4,326,297x = 46,055,659,290,624
  5. Step 5: Solve for x
    x = 46,055,659,290,624/4,326,297
  6. Step 6: Final answer
    x = 10,645,514.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.