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Finding the Third Proportional to 1,202,414 and 1,864,370

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Solution

The third proportional to 1,202,414 and 1,864,370 is: 2,890,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,414 : 1,864,370 = 1,864,370 : x
  2. Step 2: Convert to fraction form
    1,202,414/1,864,370 = 1,864,370/x
  3. Step 3: Cross multiply
    1,202,414x = 1,864,370 × 1,864,370
  4. Step 4: Simplify right side
    1,202,414x = 3,475,875,496,900
  5. Step 5: Solve for x
    x = 3,475,875,496,900/1,202,414
  6. Step 6: Final answer
    x = 2,890,747.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.