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Finding the Third Proportional to 735,643.13 and 1,124,848.69

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Solution

The third proportional to 735,643.13 and 1,124,848.69 is: 1,719,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,643.13 : 1,124,848.69 = 1,124,848.69 : x
  2. Step 2: Convert to fraction form
    735,643.13/1,124,848.69 = 1,124,848.69/x
  3. Step 3: Cross multiply
    735,643.13x = 1,124,848.69 × 1,124,848.69
  4. Step 4: Simplify right side
    735,643.13x = 1,265,284,569,770.47
  5. Step 5: Solve for x
    x = 1,265,284,569,770.47/735,643.13
  6. Step 6: Final answer
    x = 1,719,970.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.