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Finding the Third Proportional to 614,488 and 894,714

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Solution

The third proportional to 614,488 and 894,714 is: 1,302,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,488 : 894,714 = 894,714 : x
  2. Step 2: Convert to fraction form
    614,488/894,714 = 894,714/x
  3. Step 3: Cross multiply
    614,488x = 894,714 × 894,714
  4. Step 4: Simplify right side
    614,488x = 800,513,141,796
  5. Step 5: Solve for x
    x = 800,513,141,796/614,488
  6. Step 6: Final answer
    x = 1,302,731.94

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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.