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Finding the Third Proportional to 1,681,164 and 3,648,095

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Solution

The third proportional to 1,681,164 and 3,648,095 is: 7,916,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,164 : 3,648,095 = 3,648,095 : x
  2. Step 2: Convert to fraction form
    1,681,164/3,648,095 = 3,648,095/x
  3. Step 3: Cross multiply
    1,681,164x = 3,648,095 × 3,648,095
  4. Step 4: Simplify right side
    1,681,164x = 13,308,597,129,025
  5. Step 5: Solve for x
    x = 13,308,597,129,025/1,681,164
  6. Step 6: Final answer
    x = 7,916,299.14

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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.