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Finding the Third Proportional to 954,006 and 1,291,041

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Solution

The third proportional to 954,006 and 1,291,041 is: 1,747,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,006 : 1,291,041 = 1,291,041 : x
  2. Step 2: Convert to fraction form
    954,006/1,291,041 = 1,291,041/x
  3. Step 3: Cross multiply
    954,006x = 1,291,041 × 1,291,041
  4. Step 4: Simplify right side
    954,006x = 1,666,786,863,681
  5. Step 5: Solve for x
    x = 1,666,786,863,681/954,006
  6. Step 6: Final answer
    x = 1,747,145.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.