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Finding the Third Proportional to 611,212 and 934,386

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Solution

The third proportional to 611,212 and 934,386 is: 1,428,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,212 : 934,386 = 934,386 : x
  2. Step 2: Convert to fraction form
    611,212/934,386 = 934,386/x
  3. Step 3: Cross multiply
    611,212x = 934,386 × 934,386
  4. Step 4: Simplify right side
    611,212x = 873,077,196,996
  5. Step 5: Solve for x
    x = 873,077,196,996/611,212
  6. Step 6: Final answer
    x = 1,428,435.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.