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Finding the Third Proportional to 788,317 and 1,723,840

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Solution

The third proportional to 788,317 and 1,723,840 is: 3,769,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,317 : 1,723,840 = 1,723,840 : x
  2. Step 2: Convert to fraction form
    788,317/1,723,840 = 1,723,840/x
  3. Step 3: Cross multiply
    788,317x = 1,723,840 × 1,723,840
  4. Step 4: Simplify right side
    788,317x = 2,971,624,345,600
  5. Step 5: Solve for x
    x = 2,971,624,345,600/788,317
  6. Step 6: Final answer
    x = 3,769,580.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.