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Finding the Third Proportional to 4,510,890 and 6,517,442.25

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Solution

The third proportional to 4,510,890 and 6,517,442.25 is: 9,416,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,890 : 6,517,442.25 = 6,517,442.25 : x
  2. Step 2: Convert to fraction form
    4,510,890/6,517,442.25 = 6,517,442.25/x
  3. Step 3: Cross multiply
    4,510,890x = 6,517,442.25 × 6,517,442.25
  4. Step 4: Simplify right side
    4,510,890x = 42,477,053,482,085.06
  5. Step 5: Solve for x
    x = 42,477,053,482,085.06/4,510,890
  6. Step 6: Final answer
    x = 9,416,557.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.