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Finding the Third Proportional to 570,426 and 853,860

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Solution

The third proportional to 570,426 and 853,860 is: 1,278,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,426 : 853,860 = 853,860 : x
  2. Step 2: Convert to fraction form
    570,426/853,860 = 853,860/x
  3. Step 3: Cross multiply
    570,426x = 853,860 × 853,860
  4. Step 4: Simplify right side
    570,426x = 729,076,899,600
  5. Step 5: Solve for x
    x = 729,076,899,600/570,426
  6. Step 6: Final answer
    x = 1,278,127.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.