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Finding the Third Proportional to 781,008 and 1,705,224

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Solution

The third proportional to 781,008 and 1,705,224 is: 3,723,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,008 : 1,705,224 = 1,705,224 : x
  2. Step 2: Convert to fraction form
    781,008/1,705,224 = 1,705,224/x
  3. Step 3: Cross multiply
    781,008x = 1,705,224 × 1,705,224
  4. Step 4: Simplify right side
    781,008x = 2,907,788,890,176
  5. Step 5: Solve for x
    x = 2,907,788,890,176/781,008
  6. Step 6: Final answer
    x = 3,723,123.05

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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.