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Finding the Third Proportional to 817,156.13 and 964,779.75

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Solution

The third proportional to 817,156.13 and 964,779.75 is: 1,139,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,156.13 : 964,779.75 = 964,779.75 : x
  2. Step 2: Convert to fraction form
    817,156.13/964,779.75 = 964,779.75/x
  3. Step 3: Cross multiply
    817,156.13x = 964,779.75 × 964,779.75
  4. Step 4: Simplify right side
    817,156.13x = 930,799,966,010.06
  5. Step 5: Solve for x
    x = 930,799,966,010.06/817,156.13
  6. Step 6: Final answer
    x = 1,139,072.37

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.