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Finding the Third Proportional to 2,577,298.50 and 5,822,948.25

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Solution

The third proportional to 2,577,298.50 and 5,822,948.25 is: 13,155,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,298.50 : 5,822,948.25 = 5,822,948.25 : x
  2. Step 2: Convert to fraction form
    2,577,298.50/5,822,948.25 = 5,822,948.25/x
  3. Step 3: Cross multiply
    2,577,298.50x = 5,822,948.25 × 5,822,948.25
  4. Step 4: Simplify right side
    2,577,298.50x = 33,906,726,322,178.06
  5. Step 5: Solve for x
    x = 33,906,726,322,178.06/2,577,298.50
  6. Step 6: Final answer
    x = 13,155,917.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.