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Finding the Third Proportional to 594,127 and 894,030

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Solution

The third proportional to 594,127 and 894,030 is: 1,345,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,127 : 894,030 = 894,030 : x
  2. Step 2: Convert to fraction form
    594,127/894,030 = 894,030/x
  3. Step 3: Cross multiply
    594,127x = 894,030 × 894,030
  4. Step 4: Simplify right side
    594,127x = 799,289,640,900
  5. Step 5: Solve for x
    x = 799,289,640,900/594,127
  6. Step 6: Final answer
    x = 1,345,317.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.