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Finding the Third Proportional to 912,004 and 1,362,900

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Solution

The third proportional to 912,004 and 1,362,900 is: 2,036,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,004 : 1,362,900 = 1,362,900 : x
  2. Step 2: Convert to fraction form
    912,004/1,362,900 = 1,362,900/x
  3. Step 3: Cross multiply
    912,004x = 1,362,900 × 1,362,900
  4. Step 4: Simplify right side
    912,004x = 1,857,496,410,000
  5. Step 5: Solve for x
    x = 1,857,496,410,000/912,004
  6. Step 6: Final answer
    x = 2,036,719.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.