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Finding the Third Proportional to 833,234 and 1,784,566

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Solution

The third proportional to 833,234 and 1,784,566 is: 3,822,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,234 : 1,784,566 = 1,784,566 : x
  2. Step 2: Convert to fraction form
    833,234/1,784,566 = 1,784,566/x
  3. Step 3: Cross multiply
    833,234x = 1,784,566 × 1,784,566
  4. Step 4: Simplify right side
    833,234x = 3,184,675,808,356
  5. Step 5: Solve for x
    x = 3,184,675,808,356/833,234
  6. Step 6: Final answer
    x = 3,822,066.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.