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Finding the Third Proportional to 1,697,697 and 3,710,214

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Solution

The third proportional to 1,697,697 and 3,710,214 is: 8,108,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,697 : 3,710,214 = 3,710,214 : x
  2. Step 2: Convert to fraction form
    1,697,697/3,710,214 = 3,710,214/x
  3. Step 3: Cross multiply
    1,697,697x = 3,710,214 × 3,710,214
  4. Step 4: Simplify right side
    1,697,697x = 13,765,687,925,796
  5. Step 5: Solve for x
    x = 13,765,687,925,796/1,697,697
  6. Step 6: Final answer
    x = 8,108,448.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.