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Finding the Third Proportional to 1,287,461.25 and 2,796,140.25

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Solution

The third proportional to 1,287,461.25 and 2,796,140.25 is: 6,072,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,461.25 : 2,796,140.25 = 2,796,140.25 : x
  2. Step 2: Convert to fraction form
    1,287,461.25/2,796,140.25 = 2,796,140.25/x
  3. Step 3: Cross multiply
    1,287,461.25x = 2,796,140.25 × 2,796,140.25
  4. Step 4: Simplify right side
    1,287,461.25x = 7,818,400,297,670.06
  5. Step 5: Solve for x
    x = 7,818,400,297,670.06/1,287,461.25
  6. Step 6: Final answer
    x = 6,072,726.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.