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Finding the Third Proportional to 404,294,424.19 and 869,870,638.69

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Solution

The third proportional to 404,294,424.19 and 869,870,638.69 is: 1,871,593,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,294,424.19 : 869,870,638.69 = 869,870,638.69 : x
  2. Step 2: Convert to fraction form
    404,294,424.19/869,870,638.69 = 869,870,638.69/x
  3. Step 3: Cross multiply
    404,294,424.19x = 869,870,638.69 × 869,870,638.69
  4. Step 4: Simplify right side
    404,294,424.19x = 756,674,928,050,599,168
  5. Step 5: Solve for x
    x = 756,674,928,050,599,168/404,294,424.19
  6. Step 6: Final answer
    x = 1,871,593,776.17

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Why These Related Problems?

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