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Finding the Third Proportional to 699,006 and 1,499,964

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Solution

The third proportional to 699,006 and 1,499,964 is: 3,218,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,006 : 1,499,964 = 1,499,964 : x
  2. Step 2: Convert to fraction form
    699,006/1,499,964 = 1,499,964/x
  3. Step 3: Cross multiply
    699,006x = 1,499,964 × 1,499,964
  4. Step 4: Simplify right side
    699,006x = 2,249,892,001,296
  5. Step 5: Solve for x
    x = 2,249,892,001,296/699,006
  6. Step 6: Final answer
    x = 3,218,701.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.