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Finding the Third Proportional to 1,474,964 and 3,209,498

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Solution

The third proportional to 1,474,964 and 3,209,498 is: 6,983,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,964 : 3,209,498 = 3,209,498 : x
  2. Step 2: Convert to fraction form
    1,474,964/3,209,498 = 3,209,498/x
  3. Step 3: Cross multiply
    1,474,964x = 3,209,498 × 3,209,498
  4. Step 4: Simplify right side
    1,474,964x = 10,300,877,412,004
  5. Step 5: Solve for x
    x = 10,300,877,412,004/1,474,964
  6. Step 6: Final answer
    x = 6,983,816.16

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