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Finding the Third Proportional to 1,638,840 and 2,570,856

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Solution

The third proportional to 1,638,840 and 2,570,856 is: 4,032,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,840 : 2,570,856 = 2,570,856 : x
  2. Step 2: Convert to fraction form
    1,638,840/2,570,856 = 2,570,856/x
  3. Step 3: Cross multiply
    1,638,840x = 2,570,856 × 2,570,856
  4. Step 4: Simplify right side
    1,638,840x = 6,609,300,572,736
  5. Step 5: Solve for x
    x = 6,609,300,572,736/1,638,840
  6. Step 6: Final answer
    x = 4,032,913.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.