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Finding the Third Proportional to 612,995 and 956,753

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Solution

The third proportional to 612,995 and 956,753 is: 1,493,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,995 : 956,753 = 956,753 : x
  2. Step 2: Convert to fraction form
    612,995/956,753 = 956,753/x
  3. Step 3: Cross multiply
    612,995x = 956,753 × 956,753
  4. Step 4: Simplify right side
    612,995x = 915,376,303,009
  5. Step 5: Solve for x
    x = 915,376,303,009/612,995
  6. Step 6: Final answer
    x = 1,493,285.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.