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Finding the Third Proportional to 575,095.78 and 1,209,684.52

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Solution

The third proportional to 575,095.78 and 1,209,684.52 is: 2,544,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,095.78 : 1,209,684.52 = 1,209,684.52 : x
  2. Step 2: Convert to fraction form
    575,095.78/1,209,684.52 = 1,209,684.52/x
  3. Step 3: Cross multiply
    575,095.78x = 1,209,684.52 × 1,209,684.52
  4. Step 4: Simplify right side
    575,095.78x = 1,463,336,627,342.89
  5. Step 5: Solve for x
    x = 1,463,336,627,342.89/575,095.78
  6. Step 6: Final answer
    x = 2,544,509.41

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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.