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Finding the Third Proportional to 1,299,731 and 1,901,466

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Solution

The third proportional to 1,299,731 and 1,901,466 is: 2,781,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,731 : 1,901,466 = 1,901,466 : x
  2. Step 2: Convert to fraction form
    1,299,731/1,901,466 = 1,901,466/x
  3. Step 3: Cross multiply
    1,299,731x = 1,901,466 × 1,901,466
  4. Step 4: Simplify right side
    1,299,731x = 3,615,572,949,156
  5. Step 5: Solve for x
    x = 3,615,572,949,156/1,299,731
  6. Step 6: Final answer
    x = 2,781,785.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.