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Finding the Third Proportional to 2,559,096 and 5,433,072

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Solution

The third proportional to 2,559,096 and 5,433,072 is: 11,534,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559,096 : 5,433,072 = 5,433,072 : x
  2. Step 2: Convert to fraction form
    2,559,096/5,433,072 = 5,433,072/x
  3. Step 3: Cross multiply
    2,559,096x = 5,433,072 × 5,433,072
  4. Step 4: Simplify right side
    2,559,096x = 29,518,271,357,184
  5. Step 5: Solve for x
    x = 29,518,271,357,184/2,559,096
  6. Step 6: Final answer
    x = 11,534,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.