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Finding the Third Proportional to 469,674 and 1,046,920.50

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Solution

The third proportional to 469,674 and 1,046,920.50 is: 2,333,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,674 : 1,046,920.50 = 1,046,920.50 : x
  2. Step 2: Convert to fraction form
    469,674/1,046,920.50 = 1,046,920.50/x
  3. Step 3: Cross multiply
    469,674x = 1,046,920.50 × 1,046,920.50
  4. Step 4: Simplify right side
    469,674x = 1,096,042,533,320.25
  5. Step 5: Solve for x
    x = 1,096,042,533,320.25/469,674
  6. Step 6: Final answer
    x = 2,333,624.03

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.