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Finding the Third Proportional to 762,628 and 1,658,052

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Solution

The third proportional to 762,628 and 1,658,052 is: 3,604,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,628 : 1,658,052 = 1,658,052 : x
  2. Step 2: Convert to fraction form
    762,628/1,658,052 = 1,658,052/x
  3. Step 3: Cross multiply
    762,628x = 1,658,052 × 1,658,052
  4. Step 4: Simplify right side
    762,628x = 2,749,136,434,704
  5. Step 5: Solve for x
    x = 2,749,136,434,704/762,628
  6. Step 6: Final answer
    x = 3,604,819.70

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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.