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Finding the Third Proportional to 1,909,140 and 4,117,014

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Solution

The third proportional to 1,909,140 and 4,117,014 is: 8,878,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,140 : 4,117,014 = 4,117,014 : x
  2. Step 2: Convert to fraction form
    1,909,140/4,117,014 = 4,117,014/x
  3. Step 3: Cross multiply
    1,909,140x = 4,117,014 × 4,117,014
  4. Step 4: Simplify right side
    1,909,140x = 16,949,804,276,196
  5. Step 5: Solve for x
    x = 16,949,804,276,196/1,909,140
  6. Step 6: Final answer
    x = 8,878,240.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.