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Finding the Third Proportional to 2,153,486.25 and 4,731,507

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Solution

The third proportional to 2,153,486.25 and 4,731,507 is: 10,395,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,486.25 : 4,731,507 = 4,731,507 : x
  2. Step 2: Convert to fraction form
    2,153,486.25/4,731,507 = 4,731,507/x
  3. Step 3: Cross multiply
    2,153,486.25x = 4,731,507 × 4,731,507
  4. Step 4: Simplify right side
    2,153,486.25x = 22,387,158,491,049
  5. Step 5: Solve for x
    x = 22,387,158,491,049/2,153,486.25
  6. Step 6: Final answer
    x = 10,395,774.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.