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Finding the Third Proportional to 553,147 and 851,437

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Solution

The third proportional to 553,147 and 851,437 is: 1,310,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,147 : 851,437 = 851,437 : x
  2. Step 2: Convert to fraction form
    553,147/851,437 = 851,437/x
  3. Step 3: Cross multiply
    553,147x = 851,437 × 851,437
  4. Step 4: Simplify right side
    553,147x = 724,944,964,969
  5. Step 5: Solve for x
    x = 724,944,964,969/553,147
  6. Step 6: Final answer
    x = 1,310,582.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.