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Finding the Third Proportional to 534,870 and 785,934

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Solution

The third proportional to 534,870 and 785,934 is: 1,154,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,870 : 785,934 = 785,934 : x
  2. Step 2: Convert to fraction form
    534,870/785,934 = 785,934/x
  3. Step 3: Cross multiply
    534,870x = 785,934 × 785,934
  4. Step 4: Simplify right side
    534,870x = 617,692,252,356
  5. Step 5: Solve for x
    x = 617,692,252,356/534,870
  6. Step 6: Final answer
    x = 1,154,845.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.