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Finding the Third Proportional to 827,094.38 and 1,264,973.63

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Solution

The third proportional to 827,094.38 and 1,264,973.63 is: 1,934,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,094.38 : 1,264,973.63 = 1,264,973.63 : x
  2. Step 2: Convert to fraction form
    827,094.38/1,264,973.63 = 1,264,973.63/x
  3. Step 3: Cross multiply
    827,094.38x = 1,264,973.63 × 1,264,973.63
  4. Step 4: Simplify right side
    827,094.38x = 1,600,158,271,945.64
  5. Step 5: Solve for x
    x = 1,600,158,271,945.64/827,094.38
  6. Step 6: Final answer
    x = 1,934,674.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.