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Finding the Third Proportional to 837,789 and 1,808,415

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Solution

The third proportional to 837,789 and 1,808,415 is: 3,903,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,789 : 1,808,415 = 1,808,415 : x
  2. Step 2: Convert to fraction form
    837,789/1,808,415 = 1,808,415/x
  3. Step 3: Cross multiply
    837,789x = 1,808,415 × 1,808,415
  4. Step 4: Simplify right side
    837,789x = 3,270,364,812,225
  5. Step 5: Solve for x
    x = 3,270,364,812,225/837,789
  6. Step 6: Final answer
    x = 3,903,566.19

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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.