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Finding the Third Proportional to 546,120 and 1,197,212

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Solution

The third proportional to 546,120 and 1,197,212 is: 2,624,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,120 : 1,197,212 = 1,197,212 : x
  2. Step 2: Convert to fraction form
    546,120/1,197,212 = 1,197,212/x
  3. Step 3: Cross multiply
    546,120x = 1,197,212 × 1,197,212
  4. Step 4: Simplify right side
    546,120x = 1,433,316,572,944
  5. Step 5: Solve for x
    x = 1,433,316,572,944/546,120
  6. Step 6: Final answer
    x = 2,624,545.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.