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Finding the Third Proportional to 617,352,768 and 1,324,223,964

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Solution

The third proportional to 617,352,768 and 1,324,223,964 is: 2,840,465,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,352,768 : 1,324,223,964 = 1,324,223,964 : x
  2. Step 2: Convert to fraction form
    617,352,768/1,324,223,964 = 1,324,223,964/x
  3. Step 3: Cross multiply
    617,352,768x = 1,324,223,964 × 1,324,223,964
  4. Step 4: Simplify right side
    617,352,768x = 1,753,569,106,831,873,280
  5. Step 5: Solve for x
    x = 1,753,569,106,831,873,280/617,352,768
  6. Step 6: Final answer
    x = 2,840,465,286.18

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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.