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Finding the Third Proportional to 2,460,962.25 and 3,851,732.25

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Solution

The third proportional to 2,460,962.25 and 3,851,732.25 is: 6,028,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460,962.25 : 3,851,732.25 = 3,851,732.25 : x
  2. Step 2: Convert to fraction form
    2,460,962.25/3,851,732.25 = 3,851,732.25/x
  3. Step 3: Cross multiply
    2,460,962.25x = 3,851,732.25 × 3,851,732.25
  4. Step 4: Simplify right side
    2,460,962.25x = 14,835,841,325,690.06
  5. Step 5: Solve for x
    x = 14,835,841,325,690.06/2,460,962.25
  6. Step 6: Final answer
    x = 6,028,471.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.