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Finding the Third Proportional to 1,159,088.44 and 1,773,055.03

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Solution

The third proportional to 1,159,088.44 and 1,773,055.03 is: 2,712,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,088.44 : 1,773,055.03 = 1,773,055.03 : x
  2. Step 2: Convert to fraction form
    1,159,088.44/1,773,055.03 = 1,773,055.03/x
  3. Step 3: Cross multiply
    1,159,088.44x = 1,773,055.03 × 1,773,055.03
  4. Step 4: Simplify right side
    1,159,088.44x = 3,143,724,143,840.94
  5. Step 5: Solve for x
    x = 3,143,724,143,840.94/1,159,088.44
  6. Step 6: Final answer
    x = 2,712,238.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.