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Finding the Third Proportional to 594,172 and 894,106

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Solution

The third proportional to 594,172 and 894,106 is: 1,345,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,172 : 894,106 = 894,106 : x
  2. Step 2: Convert to fraction form
    594,172/894,106 = 894,106/x
  3. Step 3: Cross multiply
    594,172x = 894,106 × 894,106
  4. Step 4: Simplify right side
    594,172x = 799,425,539,236
  5. Step 5: Solve for x
    x = 799,425,539,236/594,172
  6. Step 6: Final answer
    x = 1,345,444.65

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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.