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Finding the Third Proportional to 762,960 and 1,657,008

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Solution

The third proportional to 762,960 and 1,657,008 is: 3,598,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,960 : 1,657,008 = 1,657,008 : x
  2. Step 2: Convert to fraction form
    762,960/1,657,008 = 1,657,008/x
  3. Step 3: Cross multiply
    762,960x = 1,657,008 × 1,657,008
  4. Step 4: Simplify right side
    762,960x = 2,745,675,512,064
  5. Step 5: Solve for x
    x = 2,745,675,512,064/762,960
  6. Step 6: Final answer
    x = 3,598,714.89

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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.