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Finding the Third Proportional to 470,841 and 1,029,159

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Solution

The third proportional to 470,841 and 1,029,159 is: 2,249,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,841 : 1,029,159 = 1,029,159 : x
  2. Step 2: Convert to fraction form
    470,841/1,029,159 = 1,029,159/x
  3. Step 3: Cross multiply
    470,841x = 1,029,159 × 1,029,159
  4. Step 4: Simplify right side
    470,841x = 1,059,168,247,281
  5. Step 5: Solve for x
    x = 1,059,168,247,281/470,841
  6. Step 6: Final answer
    x = 2,249,524.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.