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Finding the Third Proportional to 627,345 and 946,863

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Solution

The third proportional to 627,345 and 946,863 is: 1,429,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,345 : 946,863 = 946,863 : x
  2. Step 2: Convert to fraction form
    627,345/946,863 = 946,863/x
  3. Step 3: Cross multiply
    627,345x = 946,863 × 946,863
  4. Step 4: Simplify right side
    627,345x = 896,549,540,769
  5. Step 5: Solve for x
    x = 896,549,540,769/627,345
  6. Step 6: Final answer
    x = 1,429,117.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.