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Finding the Third Proportional to 448,427.81 and 975,587.63

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Solution

The third proportional to 448,427.81 and 975,587.63 is: 2,122,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,427.81 : 975,587.63 = 975,587.63 : x
  2. Step 2: Convert to fraction form
    448,427.81/975,587.63 = 975,587.63/x
  3. Step 3: Cross multiply
    448,427.81x = 975,587.63 × 975,587.63
  4. Step 4: Simplify right side
    448,427.81x = 951,771,214,053.14
  5. Step 5: Solve for x
    x = 951,771,214,053.14/448,427.81
  6. Step 6: Final answer
    x = 2,122,462.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.