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Finding the Third Proportional to 747,192 and 1,167,448.50

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Solution

The third proportional to 747,192 and 1,167,448.50 is: 1,824,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,192 : 1,167,448.50 = 1,167,448.50 : x
  2. Step 2: Convert to fraction form
    747,192/1,167,448.50 = 1,167,448.50/x
  3. Step 3: Cross multiply
    747,192x = 1,167,448.50 × 1,167,448.50
  4. Step 4: Simplify right side
    747,192x = 1,362,936,000,152.25
  5. Step 5: Solve for x
    x = 1,362,936,000,152.25/747,192
  6. Step 6: Final answer
    x = 1,824,077.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.