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Finding the Third Proportional to 693,768 and 1,513,264

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Solution

The third proportional to 693,768 and 1,513,264 is: 3,300,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,768 : 1,513,264 = 1,513,264 : x
  2. Step 2: Convert to fraction form
    693,768/1,513,264 = 1,513,264/x
  3. Step 3: Cross multiply
    693,768x = 1,513,264 × 1,513,264
  4. Step 4: Simplify right side
    693,768x = 2,289,967,933,696
  5. Step 5: Solve for x
    x = 2,289,967,933,696/693,768
  6. Step 6: Final answer
    x = 3,300,769.04

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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.