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Finding the Third Proportional to 772,946.93 and 1,016,421.54

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Solution

The third proportional to 772,946.93 and 1,016,421.54 is: 1,336,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,946.93 : 1,016,421.54 = 1,016,421.54 : x
  2. Step 2: Convert to fraction form
    772,946.93/1,016,421.54 = 1,016,421.54/x
  3. Step 3: Cross multiply
    772,946.93x = 1,016,421.54 × 1,016,421.54
  4. Step 4: Simplify right side
    772,946.93x = 1,033,112,745,070.18
  5. Step 5: Solve for x
    x = 1,033,112,745,070.18/772,946.93
  6. Step 6: Final answer
    x = 1,336,589.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.