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Finding the Third Proportional to 816,672 and 1,197,312

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Solution

The third proportional to 816,672 and 1,197,312 is: 1,755,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,672 : 1,197,312 = 1,197,312 : x
  2. Step 2: Convert to fraction form
    816,672/1,197,312 = 1,197,312/x
  3. Step 3: Cross multiply
    816,672x = 1,197,312 × 1,197,312
  4. Step 4: Simplify right side
    816,672x = 1,433,556,025,344
  5. Step 5: Solve for x
    x = 1,433,556,025,344/816,672
  6. Step 6: Final answer
    x = 1,755,363.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.