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Finding the Third Proportional to 847,084.50 and 1,242,369.75

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Solution

The third proportional to 847,084.50 and 1,242,369.75 is: 1,822,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,084.50 : 1,242,369.75 = 1,242,369.75 : x
  2. Step 2: Convert to fraction form
    847,084.50/1,242,369.75 = 1,242,369.75/x
  3. Step 3: Cross multiply
    847,084.50x = 1,242,369.75 × 1,242,369.75
  4. Step 4: Simplify right side
    847,084.50x = 1,543,482,595,715.06
  5. Step 5: Solve for x
    x = 1,543,482,595,715.06/847,084.50
  6. Step 6: Final answer
    x = 1,822,111.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.