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Finding the Third Proportional to 759,165 and 1,136,641.50

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Solution

The third proportional to 759,165 and 1,136,641.50 is: 1,701,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,165 : 1,136,641.50 = 1,136,641.50 : x
  2. Step 2: Convert to fraction form
    759,165/1,136,641.50 = 1,136,641.50/x
  3. Step 3: Cross multiply
    759,165x = 1,136,641.50 × 1,136,641.50
  4. Step 4: Simplify right side
    759,165x = 1,291,953,899,522.25
  5. Step 5: Solve for x
    x = 1,291,953,899,522.25/759,165
  6. Step 6: Final answer
    x = 1,701,809.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.