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Finding the Third Proportional to 2,287,237.50 and 4,878,468

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Solution

The third proportional to 2,287,237.50 and 4,878,468 is: 10,405,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,237.50 : 4,878,468 = 4,878,468 : x
  2. Step 2: Convert to fraction form
    2,287,237.50/4,878,468 = 4,878,468/x
  3. Step 3: Cross multiply
    2,287,237.50x = 4,878,468 × 4,878,468
  4. Step 4: Simplify right side
    2,287,237.50x = 23,799,450,027,024
  5. Step 5: Solve for x
    x = 23,799,450,027,024/2,287,237.50
  6. Step 6: Final answer
    x = 10,405,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.