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Finding the Third Proportional to 964,676 and 1,495,230

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Solution

The third proportional to 964,676 and 1,495,230 is: 2,317,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,676 : 1,495,230 = 1,495,230 : x
  2. Step 2: Convert to fraction form
    964,676/1,495,230 = 1,495,230/x
  3. Step 3: Cross multiply
    964,676x = 1,495,230 × 1,495,230
  4. Step 4: Simplify right side
    964,676x = 2,235,712,752,900
  5. Step 5: Solve for x
    x = 2,235,712,752,900/964,676
  6. Step 6: Final answer
    x = 2,317,578.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.