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Finding the Third Proportional to 643,133 and 1,371,699

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Solution

The third proportional to 643,133 and 1,371,699 is: 2,925,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,133 : 1,371,699 = 1,371,699 : x
  2. Step 2: Convert to fraction form
    643,133/1,371,699 = 1,371,699/x
  3. Step 3: Cross multiply
    643,133x = 1,371,699 × 1,371,699
  4. Step 4: Simplify right side
    643,133x = 1,881,558,146,601
  5. Step 5: Solve for x
    x = 1,881,558,146,601/643,133
  6. Step 6: Final answer
    x = 2,925,612.82

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Why These Related Problems?

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