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Finding the Third Proportional to 1,053,598 and 2,232,584

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Solution

The third proportional to 1,053,598 and 2,232,584 is: 4,730,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,598 : 2,232,584 = 2,232,584 : x
  2. Step 2: Convert to fraction form
    1,053,598/2,232,584 = 2,232,584/x
  3. Step 3: Cross multiply
    1,053,598x = 2,232,584 × 2,232,584
  4. Step 4: Simplify right side
    1,053,598x = 4,984,431,317,056
  5. Step 5: Solve for x
    x = 4,984,431,317,056/1,053,598
  6. Step 6: Final answer
    x = 4,730,866.34

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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.