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Finding the Third Proportional to 1,035,306 and 2,214,546

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Solution

The third proportional to 1,035,306 and 2,214,546 is: 4,736,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,306 : 2,214,546 = 2,214,546 : x
  2. Step 2: Convert to fraction form
    1,035,306/2,214,546 = 2,214,546/x
  3. Step 3: Cross multiply
    1,035,306x = 2,214,546 × 2,214,546
  4. Step 4: Simplify right side
    1,035,306x = 4,904,213,986,116
  5. Step 5: Solve for x
    x = 4,904,213,986,116/1,035,306
  6. Step 6: Final answer
    x = 4,736,970.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.