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Finding the Third Proportional to 1,697,017 and 3,711,282

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Solution

The third proportional to 1,697,017 and 3,711,282 is: 8,116,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,017 : 3,711,282 = 3,711,282 : x
  2. Step 2: Convert to fraction form
    1,697,017/3,711,282 = 3,711,282/x
  3. Step 3: Cross multiply
    1,697,017x = 3,711,282 × 3,711,282
  4. Step 4: Simplify right side
    1,697,017x = 13,773,614,083,524
  5. Step 5: Solve for x
    x = 13,773,614,083,524/1,697,017
  6. Step 6: Final answer
    x = 8,116,367.77

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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.