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Finding the Third Proportional to 1,658,458 and 3,484,019

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Solution

The third proportional to 1,658,458 and 3,484,019 is: 7,319,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,458 : 3,484,019 = 3,484,019 : x
  2. Step 2: Convert to fraction form
    1,658,458/3,484,019 = 3,484,019/x
  3. Step 3: Cross multiply
    1,658,458x = 3,484,019 × 3,484,019
  4. Step 4: Simplify right side
    1,658,458x = 12,138,388,392,361
  5. Step 5: Solve for x
    x = 12,138,388,392,361/1,658,458
  6. Step 6: Final answer
    x = 7,319,080.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.