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Finding the Third Proportional to 671,346 and 1,024,551

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Solution

The third proportional to 671,346 and 1,024,551 is: 1,563,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,346 : 1,024,551 = 1,024,551 : x
  2. Step 2: Convert to fraction form
    671,346/1,024,551 = 1,024,551/x
  3. Step 3: Cross multiply
    671,346x = 1,024,551 × 1,024,551
  4. Step 4: Simplify right side
    671,346x = 1,049,704,751,601
  5. Step 5: Solve for x
    x = 1,049,704,751,601/671,346
  6. Step 6: Final answer
    x = 1,563,582.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.