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Finding the Third Proportional to 415,558 and 896,726

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Solution

The third proportional to 415,558 and 896,726 is: 1,935,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,558 : 896,726 = 896,726 : x
  2. Step 2: Convert to fraction form
    415,558/896,726 = 896,726/x
  3. Step 3: Cross multiply
    415,558x = 896,726 × 896,726
  4. Step 4: Simplify right side
    415,558x = 804,117,519,076
  5. Step 5: Solve for x
    x = 804,117,519,076/415,558
  6. Step 6: Final answer
    x = 1,935,030.78

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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.