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Finding the Third Proportional to 779,040.75 and 1,196,702.25

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Solution

The third proportional to 779,040.75 and 1,196,702.25 is: 1,838,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,040.75 : 1,196,702.25 = 1,196,702.25 : x
  2. Step 2: Convert to fraction form
    779,040.75/1,196,702.25 = 1,196,702.25/x
  3. Step 3: Cross multiply
    779,040.75x = 1,196,702.25 × 1,196,702.25
  4. Step 4: Simplify right side
    779,040.75x = 1,432,096,275,155.06
  5. Step 5: Solve for x
    x = 1,432,096,275,155.06/779,040.75
  6. Step 6: Final answer
    x = 1,838,281.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.