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Finding the Third Proportional to 2,807,835 and 4,106,449.50

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Solution

The third proportional to 2,807,835 and 4,106,449.50 is: 6,005,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,835 : 4,106,449.50 = 4,106,449.50 : x
  2. Step 2: Convert to fraction form
    2,807,835/4,106,449.50 = 4,106,449.50/x
  3. Step 3: Cross multiply
    2,807,835x = 4,106,449.50 × 4,106,449.50
  4. Step 4: Simplify right side
    2,807,835x = 16,862,927,496,050.25
  5. Step 5: Solve for x
    x = 16,862,927,496,050.25/2,807,835
  6. Step 6: Final answer
    x = 6,005,668.96

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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.