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Finding the Third Proportional to 614,490 and 894,717

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Solution

The third proportional to 614,490 and 894,717 is: 1,302,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,490 : 894,717 = 894,717 : x
  2. Step 2: Convert to fraction form
    614,490/894,717 = 894,717/x
  3. Step 3: Cross multiply
    614,490x = 894,717 × 894,717
  4. Step 4: Simplify right side
    614,490x = 800,518,510,089
  5. Step 5: Solve for x
    x = 800,518,510,089/614,490
  6. Step 6: Final answer
    x = 1,302,736.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.