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Finding the Third Proportional to 671,938 and 1,461,973

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Solution

The third proportional to 671,938 and 1,461,973 is: 3,180,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,938 : 1,461,973 = 1,461,973 : x
  2. Step 2: Convert to fraction form
    671,938/1,461,973 = 1,461,973/x
  3. Step 3: Cross multiply
    671,938x = 1,461,973 × 1,461,973
  4. Step 4: Simplify right side
    671,938x = 2,137,365,052,729
  5. Step 5: Solve for x
    x = 2,137,365,052,729/671,938
  6. Step 6: Final answer
    x = 3,180,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.