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Finding the Third Proportional to 2,065,837.50 and 4,430,511

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Solution

The third proportional to 2,065,837.50 and 4,430,511 is: 9,501,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,837.50 : 4,430,511 = 4,430,511 : x
  2. Step 2: Convert to fraction form
    2,065,837.50/4,430,511 = 4,430,511/x
  3. Step 3: Cross multiply
    2,065,837.50x = 4,430,511 × 4,430,511
  4. Step 4: Simplify right side
    2,065,837.50x = 19,629,427,721,121
  5. Step 5: Solve for x
    x = 19,629,427,721,121/2,065,837.50
  6. Step 6: Final answer
    x = 9,501,922.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.