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Finding the Third Proportional to 693,774 and 1,513,276

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Solution

The third proportional to 693,774 and 1,513,276 is: 3,300,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,774 : 1,513,276 = 1,513,276 : x
  2. Step 2: Convert to fraction form
    693,774/1,513,276 = 1,513,276/x
  3. Step 3: Cross multiply
    693,774x = 1,513,276 × 1,513,276
  4. Step 4: Simplify right side
    693,774x = 2,290,004,252,176
  5. Step 5: Solve for x
    x = 2,290,004,252,176/693,774
  6. Step 6: Final answer
    x = 3,300,792.84

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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.