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Finding the Third Proportional to 1,698,672 and 3,697,056

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Solution

The third proportional to 1,698,672 and 3,697,056 is: 8,046,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,672 : 3,697,056 = 3,697,056 : x
  2. Step 2: Convert to fraction form
    1,698,672/3,697,056 = 3,697,056/x
  3. Step 3: Cross multiply
    1,698,672x = 3,697,056 × 3,697,056
  4. Step 4: Simplify right side
    1,698,672x = 13,668,223,067,136
  5. Step 5: Solve for x
    x = 13,668,223,067,136/1,698,672
  6. Step 6: Final answer
    x = 8,046,416.89

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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.