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Finding the Third Proportional to 1,264,320 and 2,742,912

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Solution

The third proportional to 1,264,320 and 2,742,912 is: 5,950,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,320 : 2,742,912 = 2,742,912 : x
  2. Step 2: Convert to fraction form
    1,264,320/2,742,912 = 2,742,912/x
  3. Step 3: Cross multiply
    1,264,320x = 2,742,912 × 2,742,912
  4. Step 4: Simplify right side
    1,264,320x = 7,523,566,239,744
  5. Step 5: Solve for x
    x = 7,523,566,239,744/1,264,320
  6. Step 6: Final answer
    x = 5,950,681.98

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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.