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Finding the Third Proportional to 738,487.13 and 1,055,971.69

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Solution

The third proportional to 738,487.13 and 1,055,971.69 is: 1,509,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,487.13 : 1,055,971.69 = 1,055,971.69 : x
  2. Step 2: Convert to fraction form
    738,487.13/1,055,971.69 = 1,055,971.69/x
  3. Step 3: Cross multiply
    738,487.13x = 1,055,971.69 × 1,055,971.69
  4. Step 4: Simplify right side
    738,487.13x = 1,115,076,204,801.60
  5. Step 5: Solve for x
    x = 1,115,076,204,801.60/738,487.13
  6. Step 6: Final answer
    x = 1,509,946.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.