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Finding the Third Proportional to 1,011,648 and 2,180,928

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Solution

The third proportional to 1,011,648 and 2,180,928 is: 4,701,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,648 : 2,180,928 = 2,180,928 : x
  2. Step 2: Convert to fraction form
    1,011,648/2,180,928 = 2,180,928/x
  3. Step 3: Cross multiply
    1,011,648x = 2,180,928 × 2,180,928
  4. Step 4: Simplify right side
    1,011,648x = 4,756,446,941,184
  5. Step 5: Solve for x
    x = 4,756,446,941,184/1,011,648
  6. Step 6: Final answer
    x = 4,701,681.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.