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Finding the Third Proportional to 809,388 and 1,748,457

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Solution

The third proportional to 809,388 and 1,748,457 is: 3,777,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,388 : 1,748,457 = 1,748,457 : x
  2. Step 2: Convert to fraction form
    809,388/1,748,457 = 1,748,457/x
  3. Step 3: Cross multiply
    809,388x = 1,748,457 × 1,748,457
  4. Step 4: Simplify right side
    809,388x = 3,057,101,880,849
  5. Step 5: Solve for x
    x = 3,057,101,880,849/809,388
  6. Step 6: Final answer
    x = 3,777,053.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.