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Finding the Third Proportional to 551,076 and 834,918

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Solution

The third proportional to 551,076 and 834,918 is: 1,264,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,076 : 834,918 = 834,918 : x
  2. Step 2: Convert to fraction form
    551,076/834,918 = 834,918/x
  3. Step 3: Cross multiply
    551,076x = 834,918 × 834,918
  4. Step 4: Simplify right side
    551,076x = 697,088,066,724
  5. Step 5: Solve for x
    x = 697,088,066,724/551,076
  6. Step 6: Final answer
    x = 1,264,958.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.