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Finding the Third Proportional to 643,128 and 1,371,672

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Solution

The third proportional to 643,128 and 1,371,672 is: 2,925,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,128 : 1,371,672 = 1,371,672 : x
  2. Step 2: Convert to fraction form
    643,128/1,371,672 = 1,371,672/x
  3. Step 3: Cross multiply
    643,128x = 1,371,672 × 1,371,672
  4. Step 4: Simplify right side
    643,128x = 1,881,484,075,584
  5. Step 5: Solve for x
    x = 1,881,484,075,584/643,128
  6. Step 6: Final answer
    x = 2,925,520.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.