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Finding the Third Proportional to 721,201 and 1,121,154

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Solution

The third proportional to 721,201 and 1,121,154 is: 1,742,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,201 : 1,121,154 = 1,121,154 : x
  2. Step 2: Convert to fraction form
    721,201/1,121,154 = 1,121,154/x
  3. Step 3: Cross multiply
    721,201x = 1,121,154 × 1,121,154
  4. Step 4: Simplify right side
    721,201x = 1,256,986,291,716
  5. Step 5: Solve for x
    x = 1,256,986,291,716/721,201
  6. Step 6: Final answer
    x = 1,742,907.03

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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.