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Finding the Third Proportional to 734,463 and 1,557,102

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Solution

The third proportional to 734,463 and 1,557,102 is: 3,301,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,463 : 1,557,102 = 1,557,102 : x
  2. Step 2: Convert to fraction form
    734,463/1,557,102 = 1,557,102/x
  3. Step 3: Cross multiply
    734,463x = 1,557,102 × 1,557,102
  4. Step 4: Simplify right side
    734,463x = 2,424,566,638,404
  5. Step 5: Solve for x
    x = 2,424,566,638,404/734,463
  6. Step 6: Final answer
    x = 3,301,141.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.