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Finding the Third Proportional to 1,681,164 and 3,648,096

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Solution

The third proportional to 1,681,164 and 3,648,096 is: 7,916,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,164 : 3,648,096 = 3,648,096 : x
  2. Step 2: Convert to fraction form
    1,681,164/3,648,096 = 3,648,096/x
  3. Step 3: Cross multiply
    1,681,164x = 3,648,096 × 3,648,096
  4. Step 4: Simplify right side
    1,681,164x = 13,308,604,425,216
  5. Step 5: Solve for x
    x = 13,308,604,425,216/1,681,164
  6. Step 6: Final answer
    x = 7,916,303.48

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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.