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Finding the Third Proportional to 1,972,786 and 2,896,952

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Solution

The third proportional to 1,972,786 and 2,896,952 is: 4,254,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,786 : 2,896,952 = 2,896,952 : x
  2. Step 2: Convert to fraction form
    1,972,786/2,896,952 = 2,896,952/x
  3. Step 3: Cross multiply
    1,972,786x = 2,896,952 × 2,896,952
  4. Step 4: Simplify right side
    1,972,786x = 8,392,330,890,304
  5. Step 5: Solve for x
    x = 8,392,330,890,304/1,972,786
  6. Step 6: Final answer
    x = 4,254,050.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.