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Finding the Third Proportional to 1,017,319.50 and 1,401,403.78

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Solution

The third proportional to 1,017,319.50 and 1,401,403.78 is: 1,930,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,319.50 : 1,401,403.78 = 1,401,403.78 : x
  2. Step 2: Convert to fraction form
    1,017,319.50/1,401,403.78 = 1,401,403.78/x
  3. Step 3: Cross multiply
    1,017,319.50x = 1,401,403.78 × 1,401,403.78
  4. Step 4: Simplify right side
    1,017,319.50x = 1,963,932,558,101.80
  5. Step 5: Solve for x
    x = 1,963,932,558,101.80/1,017,319.50
  6. Step 6: Final answer
    x = 1,930,497.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.