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Finding the Third Proportional to 764,784 and 1,649,306

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Solution

The third proportional to 764,784 and 1,649,306 is: 3,556,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,784 : 1,649,306 = 1,649,306 : x
  2. Step 2: Convert to fraction form
    764,784/1,649,306 = 1,649,306/x
  3. Step 3: Cross multiply
    764,784x = 1,649,306 × 1,649,306
  4. Step 4: Simplify right side
    764,784x = 2,720,210,281,636
  5. Step 5: Solve for x
    x = 2,720,210,281,636/764,784
  6. Step 6: Final answer
    x = 3,556,834.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.