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Finding the Third Proportional to 651,033 and 1,426,193

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Solution

The third proportional to 651,033 and 1,426,193 is: 3,124,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,033 : 1,426,193 = 1,426,193 : x
  2. Step 2: Convert to fraction form
    651,033/1,426,193 = 1,426,193/x
  3. Step 3: Cross multiply
    651,033x = 1,426,193 × 1,426,193
  4. Step 4: Simplify right side
    651,033x = 2,034,026,473,249
  5. Step 5: Solve for x
    x = 2,034,026,473,249/651,033
  6. Step 6: Final answer
    x = 3,124,306.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.