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Finding the Third Proportional to 671,066 and 1,016,373

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Solution

The third proportional to 671,066 and 1,016,373 is: 1,539,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,066 : 1,016,373 = 1,016,373 : x
  2. Step 2: Convert to fraction form
    671,066/1,016,373 = 1,016,373/x
  3. Step 3: Cross multiply
    671,066x = 1,016,373 × 1,016,373
  4. Step 4: Simplify right side
    671,066x = 1,033,014,075,129
  5. Step 5: Solve for x
    x = 1,033,014,075,129/671,066
  6. Step 6: Final answer
    x = 1,539,362.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.