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Finding the Third Proportional to 470,894 and 1,029,259

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Solution

The third proportional to 470,894 and 1,029,259 is: 2,249,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,894 : 1,029,259 = 1,029,259 : x
  2. Step 2: Convert to fraction form
    470,894/1,029,259 = 1,029,259/x
  3. Step 3: Cross multiply
    470,894x = 1,029,259 × 1,029,259
  4. Step 4: Simplify right side
    470,894x = 1,059,374,089,081
  5. Step 5: Solve for x
    x = 1,059,374,089,081/470,894
  6. Step 6: Final answer
    x = 2,249,708.19

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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.