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Finding the Third Proportional to 651,035 and 1,426,197

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Solution

The third proportional to 651,035 and 1,426,197 is: 3,124,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,035 : 1,426,197 = 1,426,197 : x
  2. Step 2: Convert to fraction form
    651,035/1,426,197 = 1,426,197/x
  3. Step 3: Cross multiply
    651,035x = 1,426,197 × 1,426,197
  4. Step 4: Simplify right side
    651,035x = 2,034,037,882,809
  5. Step 5: Solve for x
    x = 2,034,037,882,809/651,035
  6. Step 6: Final answer
    x = 3,124,314.18

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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.