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Finding the Third Proportional to 671,364 and 1,460,781

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Solution

The third proportional to 671,364 and 1,460,781 is: 3,178,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,364 : 1,460,781 = 1,460,781 : x
  2. Step 2: Convert to fraction form
    671,364/1,460,781 = 1,460,781/x
  3. Step 3: Cross multiply
    671,364x = 1,460,781 × 1,460,781
  4. Step 4: Simplify right side
    671,364x = 2,133,881,129,961
  5. Step 5: Solve for x
    x = 2,133,881,129,961/671,364
  6. Step 6: Final answer
    x = 3,178,426.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.