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Finding the Third Proportional to 1,732,545 and 4,173,903

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Solution

The third proportional to 1,732,545 and 4,173,903 is: 10,055,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,545 : 4,173,903 = 4,173,903 : x
  2. Step 2: Convert to fraction form
    1,732,545/4,173,903 = 4,173,903/x
  3. Step 3: Cross multiply
    1,732,545x = 4,173,903 × 4,173,903
  4. Step 4: Simplify right side
    1,732,545x = 17,421,466,253,409
  5. Step 5: Solve for x
    x = 17,421,466,253,409/1,732,545
  6. Step 6: Final answer
    x = 10,055,419.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.