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Finding the Third Proportional to 966,118.50 and 1,312,083.56

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Solution

The third proportional to 966,118.50 and 1,312,083.56 is: 1,781,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,118.50 : 1,312,083.56 = 1,312,083.56 : x
  2. Step 2: Convert to fraction form
    966,118.50/1,312,083.56 = 1,312,083.56/x
  3. Step 3: Cross multiply
    966,118.50x = 1,312,083.56 × 1,312,083.56
  4. Step 4: Simplify right side
    966,118.50x = 1,721,563,274,982.69
  5. Step 5: Solve for x
    x = 1,721,563,274,982.69/966,118.50
  6. Step 6: Final answer
    x = 1,781,938.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.