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Finding the Third Proportional to 652,710 and 1,424,976

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Solution

The third proportional to 652,710 and 1,424,976 is: 3,110,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,710 : 1,424,976 = 1,424,976 : x
  2. Step 2: Convert to fraction form
    652,710/1,424,976 = 1,424,976/x
  3. Step 3: Cross multiply
    652,710x = 1,424,976 × 1,424,976
  4. Step 4: Simplify right side
    652,710x = 2,030,556,600,576
  5. Step 5: Solve for x
    x = 2,030,556,600,576/652,710
  6. Step 6: Final answer
    x = 3,110,962.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.