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Finding the Third Proportional to 1,254,301.50 and 1,884,278.50

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Solution

The third proportional to 1,254,301.50 and 1,884,278.50 is: 2,830,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,301.50 : 1,884,278.50 = 1,884,278.50 : x
  2. Step 2: Convert to fraction form
    1,254,301.50/1,884,278.50 = 1,884,278.50/x
  3. Step 3: Cross multiply
    1,254,301.50x = 1,884,278.50 × 1,884,278.50
  4. Step 4: Simplify right side
    1,254,301.50x = 3,550,505,465,562.25
  5. Step 5: Solve for x
    x = 3,550,505,465,562.25/1,254,301.50
  6. Step 6: Final answer
    x = 2,830,663.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.