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Finding the Third Proportional to 4,262,098.50 and 6,499,521

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Solution

The third proportional to 4,262,098.50 and 6,499,521 is: 9,911,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262,098.50 : 6,499,521 = 6,499,521 : x
  2. Step 2: Convert to fraction form
    4,262,098.50/6,499,521 = 6,499,521/x
  3. Step 3: Cross multiply
    4,262,098.50x = 6,499,521 × 6,499,521
  4. Step 4: Simplify right side
    4,262,098.50x = 42,243,773,229,441
  5. Step 5: Solve for x
    x = 42,243,773,229,441/4,262,098.50
  6. Step 6: Final answer
    x = 9,911,496.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.