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Finding the Third Proportional to 535,970 and 853,154

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Solution

The third proportional to 535,970 and 853,154 is: 1,358,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,970 : 853,154 = 853,154 : x
  2. Step 2: Convert to fraction form
    535,970/853,154 = 853,154/x
  3. Step 3: Cross multiply
    535,970x = 853,154 × 853,154
  4. Step 4: Simplify right side
    535,970x = 727,871,747,716
  5. Step 5: Solve for x
    x = 727,871,747,716/535,970
  6. Step 6: Final answer
    x = 1,358,045.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.