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Finding the Third Proportional to 546,762.75 and 1,177,341.75

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Solution

The third proportional to 546,762.75 and 1,177,341.75 is: 2,535,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,762.75 : 1,177,341.75 = 1,177,341.75 : x
  2. Step 2: Convert to fraction form
    546,762.75/1,177,341.75 = 1,177,341.75/x
  3. Step 3: Cross multiply
    546,762.75x = 1,177,341.75 × 1,177,341.75
  4. Step 4: Simplify right side
    546,762.75x = 1,386,133,596,293.06
  5. Step 5: Solve for x
    x = 1,386,133,596,293.06/546,762.75
  6. Step 6: Final answer
    x = 2,535,164.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.