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Finding the Third Proportional to 2,157,752 and 4,652,032

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Solution

The third proportional to 2,157,752 and 4,652,032 is: 10,029,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157,752 : 4,652,032 = 4,652,032 : x
  2. Step 2: Convert to fraction form
    2,157,752/4,652,032 = 4,652,032/x
  3. Step 3: Cross multiply
    2,157,752x = 4,652,032 × 4,652,032
  4. Step 4: Simplify right side
    2,157,752x = 21,641,401,729,024
  5. Step 5: Solve for x
    x = 21,641,401,729,024/2,157,752
  6. Step 6: Final answer
    x = 10,029,605.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.