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Finding the Third Proportional to 781,010 and 1,705,228

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Solution

The third proportional to 781,010 and 1,705,228 is: 3,723,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,010 : 1,705,228 = 1,705,228 : x
  2. Step 2: Convert to fraction form
    781,010/1,705,228 = 1,705,228/x
  3. Step 3: Cross multiply
    781,010x = 1,705,228 × 1,705,228
  4. Step 4: Simplify right side
    781,010x = 2,907,802,531,984
  5. Step 5: Solve for x
    x = 2,907,802,531,984/781,010
  6. Step 6: Final answer
    x = 3,723,130.99

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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.