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Finding the Third Proportional to 633,610.69 and 1,312,109.72

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Solution

The third proportional to 633,610.69 and 1,312,109.72 is: 2,717,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,610.69 : 1,312,109.72 = 1,312,109.72 : x
  2. Step 2: Convert to fraction form
    633,610.69/1,312,109.72 = 1,312,109.72/x
  3. Step 3: Cross multiply
    633,610.69x = 1,312,109.72 × 1,312,109.72
  4. Step 4: Simplify right side
    633,610.69x = 1,721,631,914,038.20
  5. Step 5: Solve for x
    x = 1,721,631,914,038.20/633,610.69
  6. Step 6: Final answer
    x = 2,717,176.25

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.