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Finding the Third Proportional to 772,457 and 1,131,033

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Solution

The third proportional to 772,457 and 1,131,033 is: 1,656,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,457 : 1,131,033 = 1,131,033 : x
  2. Step 2: Convert to fraction form
    772,457/1,131,033 = 1,131,033/x
  3. Step 3: Cross multiply
    772,457x = 1,131,033 × 1,131,033
  4. Step 4: Simplify right side
    772,457x = 1,279,235,647,089
  5. Step 5: Solve for x
    x = 1,279,235,647,089/772,457
  6. Step 6: Final answer
    x = 1,656,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.