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Finding the Third Proportional to 530,119.69 and 1,144,302.19

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Solution

The third proportional to 530,119.69 and 1,144,302.19 is: 2,470,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,119.69 : 1,144,302.19 = 1,144,302.19 : x
  2. Step 2: Convert to fraction form
    530,119.69/1,144,302.19 = 1,144,302.19/x
  3. Step 3: Cross multiply
    530,119.69x = 1,144,302.19 × 1,144,302.19
  4. Step 4: Simplify right side
    530,119.69x = 1,309,427,496,317.29
  5. Step 5: Solve for x
    x = 1,309,427,496,317.29/530,119.69
  6. Step 6: Final answer
    x = 2,470,060.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.