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Finding the Third Proportional to 1,258,641 and 1,864,356.56

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Solution

The third proportional to 1,258,641 and 1,864,356.56 is: 2,761,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,641 : 1,864,356.56 = 1,864,356.56 : x
  2. Step 2: Convert to fraction form
    1,258,641/1,864,356.56 = 1,864,356.56/x
  3. Step 3: Cross multiply
    1,258,641x = 1,864,356.56 × 1,864,356.56
  4. Step 4: Simplify right side
    1,258,641x = 3,475,825,392,136.82
  5. Step 5: Solve for x
    x = 3,475,825,392,136.82/1,258,641
  6. Step 6: Final answer
    x = 2,761,570.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.