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Finding the Third Proportional to 1,409,154 and 3,141,032

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Solution

The third proportional to 1,409,154 and 3,141,032 is: 7,001,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,154 : 3,141,032 = 3,141,032 : x
  2. Step 2: Convert to fraction form
    1,409,154/3,141,032 = 3,141,032/x
  3. Step 3: Cross multiply
    1,409,154x = 3,141,032 × 3,141,032
  4. Step 4: Simplify right side
    1,409,154x = 9,866,082,025,024
  5. Step 5: Solve for x
    x = 9,866,082,025,024/1,409,154
  6. Step 6: Final answer
    x = 7,001,422.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.