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Finding the Third Proportional to 847,669.50 and 1,188,006.75

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Solution

The third proportional to 847,669.50 and 1,188,006.75 is: 1,664,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,669.50 : 1,188,006.75 = 1,188,006.75 : x
  2. Step 2: Convert to fraction form
    847,669.50/1,188,006.75 = 1,188,006.75/x
  3. Step 3: Cross multiply
    847,669.50x = 1,188,006.75 × 1,188,006.75
  4. Step 4: Simplify right side
    847,669.50x = 1,411,360,038,045.56
  5. Step 5: Solve for x
    x = 1,411,360,038,045.56/847,669.50
  6. Step 6: Final answer
    x = 1,664,988.58

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Why These Related Problems?

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