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Finding the Third Proportional to 518,148.14 and 1,120,564.13

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Solution

The third proportional to 518,148.14 and 1,120,564.13 is: 2,423,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,148.14 : 1,120,564.13 = 1,120,564.13 : x
  2. Step 2: Convert to fraction form
    518,148.14/1,120,564.13 = 1,120,564.13/x
  3. Step 3: Cross multiply
    518,148.14x = 1,120,564.13 × 1,120,564.13
  4. Step 4: Simplify right side
    518,148.14x = 1,255,663,958,237.02
  5. Step 5: Solve for x
    x = 1,255,663,958,237.02/518,148.14
  6. Step 6: Final answer
    x = 2,423,368.65

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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.