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Finding the Third Proportional to 610,680 and 934,164

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Solution

The third proportional to 610,680 and 934,164 is: 1,429,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,680 : 934,164 = 934,164 : x
  2. Step 2: Convert to fraction form
    610,680/934,164 = 934,164/x
  3. Step 3: Cross multiply
    610,680x = 934,164 × 934,164
  4. Step 4: Simplify right side
    610,680x = 872,662,378,896
  5. Step 5: Solve for x
    x = 872,662,378,896/610,680
  6. Step 6: Final answer
    x = 1,429,001.08

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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.