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Finding the Third Proportional to 1,681,176 and 3,648,120

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Solution

The third proportional to 1,681,176 and 3,648,120 is: 7,916,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,176 : 3,648,120 = 3,648,120 : x
  2. Step 2: Convert to fraction form
    1,681,176/3,648,120 = 3,648,120/x
  3. Step 3: Cross multiply
    1,681,176x = 3,648,120 × 3,648,120
  4. Step 4: Simplify right side
    1,681,176x = 13,308,779,534,400
  5. Step 5: Solve for x
    x = 13,308,779,534,400/1,681,176
  6. Step 6: Final answer
    x = 7,916,351.13

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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.