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Finding the Third Proportional to 756,126 and 1,650,924

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Solution

The third proportional to 756,126 and 1,650,924 is: 3,604,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,126 : 1,650,924 = 1,650,924 : x
  2. Step 2: Convert to fraction form
    756,126/1,650,924 = 1,650,924/x
  3. Step 3: Cross multiply
    756,126x = 1,650,924 × 1,650,924
  4. Step 4: Simplify right side
    756,126x = 2,725,550,053,776
  5. Step 5: Solve for x
    x = 2,725,550,053,776/756,126
  6. Step 6: Final answer
    x = 3,604,624.17

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