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Finding the Third Proportional to 2,895,316 and 5,717,968

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Solution

The third proportional to 2,895,316 and 5,717,968 is: 11,292,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,316 : 5,717,968 = 5,717,968 : x
  2. Step 2: Convert to fraction form
    2,895,316/5,717,968 = 5,717,968/x
  3. Step 3: Cross multiply
    2,895,316x = 5,717,968 × 5,717,968
  4. Step 4: Simplify right side
    2,895,316x = 32,695,158,049,024
  5. Step 5: Solve for x
    x = 32,695,158,049,024/2,895,316
  6. Step 6: Final answer
    x = 11,292,431.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.