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Finding the Third Proportional to 2,010,969 and 2,582,032

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Solution

The third proportional to 2,010,969 and 2,582,032 is: 3,315,262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,969 : 2,582,032 = 2,582,032 : x
  2. Step 2: Convert to fraction form
    2,010,969/2,582,032 = 2,582,032/x
  3. Step 3: Cross multiply
    2,010,969x = 2,582,032 × 2,582,032
  4. Step 4: Simplify right side
    2,010,969x = 6,666,889,249,024
  5. Step 5: Solve for x
    x = 6,666,889,249,024/2,010,969
  6. Step 6: Final answer
    x = 3,315,262.07

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.