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Finding the Third Proportional to 847,158.75 and 1,290,595.78

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Solution

The third proportional to 847,158.75 and 1,290,595.78 is: 1,966,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,158.75 : 1,290,595.78 = 1,290,595.78 : x
  2. Step 2: Convert to fraction form
    847,158.75/1,290,595.78 = 1,290,595.78/x
  3. Step 3: Cross multiply
    847,158.75x = 1,290,595.78 × 1,290,595.78
  4. Step 4: Simplify right side
    847,158.75x = 1,665,637,470,580.30
  5. Step 5: Solve for x
    x = 1,665,637,470,580.30/847,158.75
  6. Step 6: Final answer
    x = 1,966,145.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.