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Finding the Third Proportional to 607,104 and 912,612

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Solution

The third proportional to 607,104 and 912,612 is: 1,371,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,104 : 912,612 = 912,612 : x
  2. Step 2: Convert to fraction form
    607,104/912,612 = 912,612/x
  3. Step 3: Cross multiply
    607,104x = 912,612 × 912,612
  4. Step 4: Simplify right side
    607,104x = 832,860,662,544
  5. Step 5: Solve for x
    x = 832,860,662,544/607,104
  6. Step 6: Final answer
    x = 1,371,858.30

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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.