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Finding the Third Proportional to 499,461 and 1,078,728

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Solution

The third proportional to 499,461 and 1,078,728 is: 2,329,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,461 : 1,078,728 = 1,078,728 : x
  2. Step 2: Convert to fraction form
    499,461/1,078,728 = 1,078,728/x
  3. Step 3: Cross multiply
    499,461x = 1,078,728 × 1,078,728
  4. Step 4: Simplify right side
    499,461x = 1,163,654,097,984
  5. Step 5: Solve for x
    x = 1,163,654,097,984/499,461
  6. Step 6: Final answer
    x = 2,329,819.74

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