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Finding the Third Proportional to 739,502 and 1,514,050

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Solution

The third proportional to 739,502 and 1,514,050 is: 3,099,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,502 : 1,514,050 = 1,514,050 : x
  2. Step 2: Convert to fraction form
    739,502/1,514,050 = 1,514,050/x
  3. Step 3: Cross multiply
    739,502x = 1,514,050 × 1,514,050
  4. Step 4: Simplify right side
    739,502x = 2,292,347,402,500
  5. Step 5: Solve for x
    x = 2,292,347,402,500/739,502
  6. Step 6: Final answer
    x = 3,099,852.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.