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Finding the Third Proportional to 1,365,123.75 and 2,962,298.25

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Solution

The third proportional to 1,365,123.75 and 2,962,298.25 is: 6,428,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,123.75 : 2,962,298.25 = 2,962,298.25 : x
  2. Step 2: Convert to fraction form
    1,365,123.75/2,962,298.25 = 2,962,298.25/x
  3. Step 3: Cross multiply
    1,365,123.75x = 2,962,298.25 × 2,962,298.25
  4. Step 4: Simplify right side
    1,365,123.75x = 8,775,210,921,953.06
  5. Step 5: Solve for x
    x = 8,775,210,921,953.06/1,365,123.75
  6. Step 6: Final answer
    x = 6,428,143.18

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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.