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Finding the Third Proportional to 735,130 and 1,592,432

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Solution

The third proportional to 735,130 and 1,592,432 is: 3,449,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,130 : 1,592,432 = 1,592,432 : x
  2. Step 2: Convert to fraction form
    735,130/1,592,432 = 1,592,432/x
  3. Step 3: Cross multiply
    735,130x = 1,592,432 × 1,592,432
  4. Step 4: Simplify right side
    735,130x = 2,535,839,674,624
  5. Step 5: Solve for x
    x = 2,535,839,674,624/735,130
  6. Step 6: Final answer
    x = 3,449,511.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.