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Finding the Third Proportional to 745,561.13 and 1,166,319

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Solution

The third proportional to 745,561.13 and 1,166,319 is: 1,824,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,561.13 : 1,166,319 = 1,166,319 : x
  2. Step 2: Convert to fraction form
    745,561.13/1,166,319 = 1,166,319/x
  3. Step 3: Cross multiply
    745,561.13x = 1,166,319 × 1,166,319
  4. Step 4: Simplify right side
    745,561.13x = 1,360,300,009,761
  5. Step 5: Solve for x
    x = 1,360,300,009,761/745,561.13
  6. Step 6: Final answer
    x = 1,824,531.84

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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.