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Finding the Third Proportional to 549,451 and 849,085

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Solution

The third proportional to 549,451 and 849,085 is: 1,312,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,451 : 849,085 = 849,085 : x
  2. Step 2: Convert to fraction form
    549,451/849,085 = 849,085/x
  3. Step 3: Cross multiply
    549,451x = 849,085 × 849,085
  4. Step 4: Simplify right side
    549,451x = 720,945,337,225
  5. Step 5: Solve for x
    x = 720,945,337,225/549,451
  6. Step 6: Final answer
    x = 1,312,119.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.