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Finding the Third Proportional to 762,069 and 1,704,570

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Solution

The third proportional to 762,069 and 1,704,570 is: 3,812,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,069 : 1,704,570 = 1,704,570 : x
  2. Step 2: Convert to fraction form
    762,069/1,704,570 = 1,704,570/x
  3. Step 3: Cross multiply
    762,069x = 1,704,570 × 1,704,570
  4. Step 4: Simplify right side
    762,069x = 2,905,558,884,900
  5. Step 5: Solve for x
    x = 2,905,558,884,900/762,069
  6. Step 6: Final answer
    x = 3,812,724.16

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.