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Finding the Third Proportional to 1,258,794.50 and 1,898,643

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Solution

The third proportional to 1,258,794.50 and 1,898,643 is: 2,863,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,794.50 : 1,898,643 = 1,898,643 : x
  2. Step 2: Convert to fraction form
    1,258,794.50/1,898,643 = 1,898,643/x
  3. Step 3: Cross multiply
    1,258,794.50x = 1,898,643 × 1,898,643
  4. Step 4: Simplify right side
    1,258,794.50x = 3,604,845,241,449
  5. Step 5: Solve for x
    x = 3,604,845,241,449/1,258,794.50
  6. Step 6: Final answer
    x = 2,863,728.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.