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Finding the Third Proportional to 647,136 and 1,418,688

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Solution

The third proportional to 647,136 and 1,418,688 is: 3,110,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,136 : 1,418,688 = 1,418,688 : x
  2. Step 2: Convert to fraction form
    647,136/1,418,688 = 1,418,688/x
  3. Step 3: Cross multiply
    647,136x = 1,418,688 × 1,418,688
  4. Step 4: Simplify right side
    647,136x = 2,012,675,641,344
  5. Step 5: Solve for x
    x = 2,012,675,641,344/647,136
  6. Step 6: Final answer
    x = 3,110,127.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.