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Finding the Third Proportional to 411,475,899 and 880,220,742

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Solution

The third proportional to 411,475,899 and 880,220,742 is: 1,882,950,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,475,899 : 880,220,742 = 880,220,742 : x
  2. Step 2: Convert to fraction form
    411,475,899/880,220,742 = 880,220,742/x
  3. Step 3: Cross multiply
    411,475,899x = 880,220,742 × 880,220,742
  4. Step 4: Simplify right side
    411,475,899x = 774,788,554,647,030,528
  5. Step 5: Solve for x
    x = 774,788,554,647,030,528/411,475,899
  6. Step 6: Final answer
    x = 1,882,950,025.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.