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Finding the Third Proportional to 1,624,508.16 and 2,525,609.11

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Solution

The third proportional to 1,624,508.16 and 2,525,609.11 is: 3,926,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,508.16 : 2,525,609.11 = 2,525,609.11 : x
  2. Step 2: Convert to fraction form
    1,624,508.16/2,525,609.11 = 2,525,609.11/x
  3. Step 3: Cross multiply
    1,624,508.16x = 2,525,609.11 × 2,525,609.11
  4. Step 4: Simplify right side
    1,624,508.16x = 6,378,701,373,357.98
  5. Step 5: Solve for x
    x = 6,378,701,373,357.98/1,624,508.16
  6. Step 6: Final answer
    x = 3,926,543.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.