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Finding the Third Proportional to 2,254,534.25 and 3,492,381.50

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Solution

The third proportional to 2,254,534.25 and 3,492,381.50 is: 5,409,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,534.25 : 3,492,381.50 = 3,492,381.50 : x
  2. Step 2: Convert to fraction form
    2,254,534.25/3,492,381.50 = 3,492,381.50/x
  3. Step 3: Cross multiply
    2,254,534.25x = 3,492,381.50 × 3,492,381.50
  4. Step 4: Simplify right side
    2,254,534.25x = 12,196,728,541,542.25
  5. Step 5: Solve for x
    x = 12,196,728,541,542.25/2,254,534.25
  6. Step 6: Final answer
    x = 5,409,866.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.