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Finding the Third Proportional to 519,953 and 1,125,196

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Solution

The third proportional to 519,953 and 1,125,196 is: 2,434,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,953 : 1,125,196 = 1,125,196 : x
  2. Step 2: Convert to fraction form
    519,953/1,125,196 = 1,125,196/x
  3. Step 3: Cross multiply
    519,953x = 1,125,196 × 1,125,196
  4. Step 4: Simplify right side
    519,953x = 1,266,066,038,416
  5. Step 5: Solve for x
    x = 1,266,066,038,416/519,953
  6. Step 6: Final answer
    x = 2,434,962.46

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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.