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Finding the Third Proportional to 1,053,404 and 2,232,300

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Solution

The third proportional to 1,053,404 and 2,232,300 is: 4,730,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,404 : 2,232,300 = 2,232,300 : x
  2. Step 2: Convert to fraction form
    1,053,404/2,232,300 = 2,232,300/x
  3. Step 3: Cross multiply
    1,053,404x = 2,232,300 × 2,232,300
  4. Step 4: Simplify right side
    1,053,404x = 4,983,163,290,000
  5. Step 5: Solve for x
    x = 4,983,163,290,000/1,053,404
  6. Step 6: Final answer
    x = 4,730,533.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.