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Finding the Third Proportional to 1,774,258.17 and 2,658,435.66

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Solution

The third proportional to 1,774,258.17 and 2,658,435.66 is: 3,983,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,258.17 : 2,658,435.66 = 2,658,435.66 : x
  2. Step 2: Convert to fraction form
    1,774,258.17/2,658,435.66 = 2,658,435.66/x
  3. Step 3: Cross multiply
    1,774,258.17x = 2,658,435.66 × 2,658,435.66
  4. Step 4: Simplify right side
    1,774,258.17x = 7,067,280,169,575.57
  5. Step 5: Solve for x
    x = 7,067,280,169,575.57/1,774,258.17
  6. Step 6: Final answer
    x = 3,983,231.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.