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Finding the Third Proportional to 847,219.50 and 1,185,009.75

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Solution

The third proportional to 847,219.50 and 1,185,009.75 is: 1,657,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,219.50 : 1,185,009.75 = 1,185,009.75 : x
  2. Step 2: Convert to fraction form
    847,219.50/1,185,009.75 = 1,185,009.75/x
  3. Step 3: Cross multiply
    847,219.50x = 1,185,009.75 × 1,185,009.75
  4. Step 4: Simplify right side
    847,219.50x = 1,404,248,107,595.06
  5. Step 5: Solve for x
    x = 1,404,248,107,595.06/847,219.50
  6. Step 6: Final answer
    x = 1,657,478.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.