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Finding the Third Proportional to 4,869,297 and 7,569,742

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Solution

The third proportional to 4,869,297 and 7,569,742 is: 11,767,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,297 : 7,569,742 = 7,569,742 : x
  2. Step 2: Convert to fraction form
    4,869,297/7,569,742 = 7,569,742/x
  3. Step 3: Cross multiply
    4,869,297x = 7,569,742 × 7,569,742
  4. Step 4: Simplify right side
    4,869,297x = 57,300,993,946,564
  5. Step 5: Solve for x
    x = 57,300,993,946,564/4,869,297
  6. Step 6: Final answer
    x = 11,767,816.58

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