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Finding the Third Proportional to 762,696 and 1,671,921

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Solution

The third proportional to 762,696 and 1,671,921 is: 3,665,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,696 : 1,671,921 = 1,671,921 : x
  2. Step 2: Convert to fraction form
    762,696/1,671,921 = 1,671,921/x
  3. Step 3: Cross multiply
    762,696x = 1,671,921 × 1,671,921
  4. Step 4: Simplify right side
    762,696x = 2,795,319,830,241
  5. Step 5: Solve for x
    x = 2,795,319,830,241/762,696
  6. Step 6: Final answer
    x = 3,665,051.12

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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.