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Finding the Third Proportional to 1,214,348 and 1,811,669

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Solution

The third proportional to 1,214,348 and 1,811,669 is: 2,702,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,348 : 1,811,669 = 1,811,669 : x
  2. Step 2: Convert to fraction form
    1,214,348/1,811,669 = 1,811,669/x
  3. Step 3: Cross multiply
    1,214,348x = 1,811,669 × 1,811,669
  4. Step 4: Simplify right side
    1,214,348x = 3,282,144,565,561
  5. Step 5: Solve for x
    x = 3,282,144,565,561/1,214,348
  6. Step 6: Final answer
    x = 2,702,803.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.