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Finding the Third Proportional to 762,695 and 1,671,919

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Solution

The third proportional to 762,695 and 1,671,919 is: 3,665,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,695 : 1,671,919 = 1,671,919 : x
  2. Step 2: Convert to fraction form
    762,695/1,671,919 = 1,671,919/x
  3. Step 3: Cross multiply
    762,695x = 1,671,919 × 1,671,919
  4. Step 4: Simplify right side
    762,695x = 2,795,313,142,561
  5. Step 5: Solve for x
    x = 2,795,313,142,561/762,695
  6. Step 6: Final answer
    x = 3,665,047.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.