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Finding the Third Proportional to 1,405,048.50 and 3,315,710.25

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Solution

The third proportional to 1,405,048.50 and 3,315,710.25 is: 7,824,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,048.50 : 3,315,710.25 = 3,315,710.25 : x
  2. Step 2: Convert to fraction form
    1,405,048.50/3,315,710.25 = 3,315,710.25/x
  3. Step 3: Cross multiply
    1,405,048.50x = 3,315,710.25 × 3,315,710.25
  4. Step 4: Simplify right side
    1,405,048.50x = 10,993,934,461,955.06
  5. Step 5: Solve for x
    x = 10,993,934,461,955.06/1,405,048.50
  6. Step 6: Final answer
    x = 7,824,594.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.