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Finding the Third Proportional to 3,549,747 and 5,076,180.50

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Solution

The third proportional to 3,549,747 and 5,076,180.50 is: 7,258,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549,747 : 5,076,180.50 = 5,076,180.50 : x
  2. Step 2: Convert to fraction form
    3,549,747/5,076,180.50 = 5,076,180.50/x
  3. Step 3: Cross multiply
    3,549,747x = 5,076,180.50 × 5,076,180.50
  4. Step 4: Simplify right side
    3,549,747x = 25,767,608,468,580.25
  5. Step 5: Solve for x
    x = 25,767,608,468,580.25/3,549,747
  6. Step 6: Final answer
    x = 7,258,998.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.