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Finding the Third Proportional to 764,943.75 and 1,125,090

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Solution

The third proportional to 764,943.75 and 1,125,090 is: 1,654,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,943.75 : 1,125,090 = 1,125,090 : x
  2. Step 2: Convert to fraction form
    764,943.75/1,125,090 = 1,125,090/x
  3. Step 3: Cross multiply
    764,943.75x = 1,125,090 × 1,125,090
  4. Step 4: Simplify right side
    764,943.75x = 1,265,827,508,100
  5. Step 5: Solve for x
    x = 1,265,827,508,100/764,943.75
  6. Step 6: Final answer
    x = 1,654,798.16

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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.