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Finding the Third Proportional to 721,102 and 1,120,984.50

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Solution

The third proportional to 721,102 and 1,120,984.50 is: 1,742,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,102 : 1,120,984.50 = 1,120,984.50 : x
  2. Step 2: Convert to fraction form
    721,102/1,120,984.50 = 1,120,984.50/x
  3. Step 3: Cross multiply
    721,102x = 1,120,984.50 × 1,120,984.50
  4. Step 4: Simplify right side
    721,102x = 1,256,606,249,240.25
  5. Step 5: Solve for x
    x = 1,256,606,249,240.25/721,102
  6. Step 6: Final answer
    x = 1,742,619.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.