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Finding the Third Proportional to 475,830 and 1,034,604

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Solution

The third proportional to 475,830 and 1,034,604 is: 2,249,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,830 : 1,034,604 = 1,034,604 : x
  2. Step 2: Convert to fraction form
    475,830/1,034,604 = 1,034,604/x
  3. Step 3: Cross multiply
    475,830x = 1,034,604 × 1,034,604
  4. Step 4: Simplify right side
    475,830x = 1,070,405,436,816
  5. Step 5: Solve for x
    x = 1,070,405,436,816/475,830
  6. Step 6: Final answer
    x = 2,249,554.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.