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Finding the Third Proportional to 1,648,684 and 3,587,692

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Solution

The third proportional to 1,648,684 and 3,587,692 is: 7,807,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,684 : 3,587,692 = 3,587,692 : x
  2. Step 2: Convert to fraction form
    1,648,684/3,587,692 = 3,587,692/x
  3. Step 3: Cross multiply
    1,648,684x = 3,587,692 × 3,587,692
  4. Step 4: Simplify right side
    1,648,684x = 12,871,533,886,864
  5. Step 5: Solve for x
    x = 12,871,533,886,864/1,648,684
  6. Step 6: Final answer
    x = 7,807,156.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.