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Finding the Third Proportional to 561,570 and 916,884

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Solution

The third proportional to 561,570 and 916,884 is: 1,497,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,570 : 916,884 = 916,884 : x
  2. Step 2: Convert to fraction form
    561,570/916,884 = 916,884/x
  3. Step 3: Cross multiply
    561,570x = 916,884 × 916,884
  4. Step 4: Simplify right side
    561,570x = 840,676,269,456
  5. Step 5: Solve for x
    x = 840,676,269,456/561,570
  6. Step 6: Final answer
    x = 1,497,010.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.