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Finding the Third Proportional to 1,097,471 and 2,314,498

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Solution

The third proportional to 1,097,471 and 2,314,498 is: 4,881,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,471 : 2,314,498 = 2,314,498 : x
  2. Step 2: Convert to fraction form
    1,097,471/2,314,498 = 2,314,498/x
  3. Step 3: Cross multiply
    1,097,471x = 2,314,498 × 2,314,498
  4. Step 4: Simplify right side
    1,097,471x = 5,356,900,992,004
  5. Step 5: Solve for x
    x = 5,356,900,992,004/1,097,471
  6. Step 6: Final answer
    x = 4,881,132.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.