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Finding the Third Proportional to 460,497,792 and 939,493,752

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Solution

The third proportional to 460,497,792 and 939,493,752 is: 1,916,726,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,497,792 : 939,493,752 = 939,493,752 : x
  2. Step 2: Convert to fraction form
    460,497,792/939,493,752 = 939,493,752/x
  3. Step 3: Cross multiply
    460,497,792x = 939,493,752 × 939,493,752
  4. Step 4: Simplify right side
    460,497,792x = 882,648,510,047,037,440
  5. Step 5: Solve for x
    x = 882,648,510,047,037,440/460,497,792
  6. Step 6: Final answer
    x = 1,916,726,910.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.