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Finding the Third Proportional to 658,234,512 and 1,370,949,381

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Solution

The third proportional to 658,234,512 and 1,370,949,381 is: 2,855,368,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,234,512 : 1,370,949,381 = 1,370,949,381 : x
  2. Step 2: Convert to fraction form
    658,234,512/1,370,949,381 = 1,370,949,381/x
  3. Step 3: Cross multiply
    658,234,512x = 1,370,949,381 × 1,370,949,381
  4. Step 4: Simplify right side
    658,234,512x = 1,879,502,205,264,283,136
  5. Step 5: Solve for x
    x = 1,879,502,205,264,283,136/658,234,512
  6. Step 6: Final answer
    x = 2,855,368,673.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.