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Finding the Third Proportional to 647,457 and 1,015,671

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Solution

The third proportional to 647,457 and 1,015,671 is: 1,593,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,457 : 1,015,671 = 1,015,671 : x
  2. Step 2: Convert to fraction form
    647,457/1,015,671 = 1,015,671/x
  3. Step 3: Cross multiply
    647,457x = 1,015,671 × 1,015,671
  4. Step 4: Simplify right side
    647,457x = 1,031,587,580,241
  5. Step 5: Solve for x
    x = 1,031,587,580,241/647,457
  6. Step 6: Final answer
    x = 1,593,291.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.