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Finding the Third Proportional to 745,830 and 1,182,865.50

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Solution

The third proportional to 745,830 and 1,182,865.50 is: 1,875,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,830 : 1,182,865.50 = 1,182,865.50 : x
  2. Step 2: Convert to fraction form
    745,830/1,182,865.50 = 1,182,865.50/x
  3. Step 3: Cross multiply
    745,830x = 1,182,865.50 × 1,182,865.50
  4. Step 4: Simplify right side
    745,830x = 1,399,170,791,090.25
  5. Step 5: Solve for x
    x = 1,399,170,791,090.25/745,830
  6. Step 6: Final answer
    x = 1,875,991.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.