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Finding the Third Proportional to 1,076,409 and 1,734,358.50

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Solution

The third proportional to 1,076,409 and 1,734,358.50 is: 2,794,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,409 : 1,734,358.50 = 1,734,358.50 : x
  2. Step 2: Convert to fraction form
    1,076,409/1,734,358.50 = 1,734,358.50/x
  3. Step 3: Cross multiply
    1,076,409x = 1,734,358.50 × 1,734,358.50
  4. Step 4: Simplify right side
    1,076,409x = 3,007,999,406,522.25
  5. Step 5: Solve for x
    x = 3,007,999,406,522.25/1,076,409
  6. Step 6: Final answer
    x = 2,794,476.27

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.