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Finding the Third Proportional to 2,032,752 and 2,972,643

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Solution

The third proportional to 2,032,752 and 2,972,643 is: 4,347,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,752 : 2,972,643 = 2,972,643 : x
  2. Step 2: Convert to fraction form
    2,032,752/2,972,643 = 2,972,643/x
  3. Step 3: Cross multiply
    2,032,752x = 2,972,643 × 2,972,643
  4. Step 4: Simplify right side
    2,032,752x = 8,836,606,405,449
  5. Step 5: Solve for x
    x = 8,836,606,405,449/2,032,752
  6. Step 6: Final answer
    x = 4,347,114.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.