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Finding the Third Proportional to 4,456,008 and 6,496,236

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Solution

The third proportional to 4,456,008 and 6,496,236 is: 9,470,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,008 : 6,496,236 = 6,496,236 : x
  2. Step 2: Convert to fraction form
    4,456,008/6,496,236 = 6,496,236/x
  3. Step 3: Cross multiply
    4,456,008x = 6,496,236 × 6,496,236
  4. Step 4: Simplify right side
    4,456,008x = 42,201,082,167,696
  5. Step 5: Solve for x
    x = 42,201,082,167,696/4,456,008
  6. Step 6: Final answer
    x = 9,470,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.