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Finding the Third Proportional to 1,004,038 and 1,404,340

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Solution

The third proportional to 1,004,038 and 1,404,340 is: 1,964,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,038 : 1,404,340 = 1,404,340 : x
  2. Step 2: Convert to fraction form
    1,004,038/1,404,340 = 1,404,340/x
  3. Step 3: Cross multiply
    1,004,038x = 1,404,340 × 1,404,340
  4. Step 4: Simplify right side
    1,004,038x = 1,972,170,835,600
  5. Step 5: Solve for x
    x = 1,972,170,835,600/1,004,038
  6. Step 6: Final answer
    x = 1,964,239.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.