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Finding the Third Proportional to 650,928 and 1,371,840

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Solution

The third proportional to 650,928 and 1,371,840 is: 2,891,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,928 : 1,371,840 = 1,371,840 : x
  2. Step 2: Convert to fraction form
    650,928/1,371,840 = 1,371,840/x
  3. Step 3: Cross multiply
    650,928x = 1,371,840 × 1,371,840
  4. Step 4: Simplify right side
    650,928x = 1,881,944,985,600
  5. Step 5: Solve for x
    x = 1,881,944,985,600/650,928
  6. Step 6: Final answer
    x = 2,891,172.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.