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Finding the Third Proportional to 1,742,509 and 3,774,616

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Solution

The third proportional to 1,742,509 and 3,774,616 is: 8,176,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,509 : 3,774,616 = 3,774,616 : x
  2. Step 2: Convert to fraction form
    1,742,509/3,774,616 = 3,774,616/x
  3. Step 3: Cross multiply
    1,742,509x = 3,774,616 × 3,774,616
  4. Step 4: Simplify right side
    1,742,509x = 14,247,725,947,456
  5. Step 5: Solve for x
    x = 14,247,725,947,456/1,742,509
  6. Step 6: Final answer
    x = 8,176,558.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.