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Finding the Third Proportional to 524,854.69 and 1,102,577.06

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Solution

The third proportional to 524,854.69 and 1,102,577.06 is: 2,316,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,854.69 : 1,102,577.06 = 1,102,577.06 : x
  2. Step 2: Convert to fraction form
    524,854.69/1,102,577.06 = 1,102,577.06/x
  3. Step 3: Cross multiply
    524,854.69x = 1,102,577.06 × 1,102,577.06
  4. Step 4: Simplify right side
    524,854.69x = 1,215,676,178,751.13
  5. Step 5: Solve for x
    x = 1,215,676,178,751.13/524,854.69
  6. Step 6: Final answer
    x = 2,316,214.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.