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Finding the Third Proportional to 623,084 and 891,022

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Solution

The third proportional to 623,084 and 891,022 is: 1,274,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,084 : 891,022 = 891,022 : x
  2. Step 2: Convert to fraction form
    623,084/891,022 = 891,022/x
  3. Step 3: Cross multiply
    623,084x = 891,022 × 891,022
  4. Step 4: Simplify right side
    623,084x = 793,920,204,484
  5. Step 5: Solve for x
    x = 793,920,204,484/623,084
  6. Step 6: Final answer
    x = 1,274,178.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.