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Finding the Third Proportional to 470,940 and 1,017,308

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Solution

The third proportional to 470,940 and 1,017,308 is: 2,197,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940 : 1,017,308 = 1,017,308 : x
  2. Step 2: Convert to fraction form
    470,940/1,017,308 = 1,017,308/x
  3. Step 3: Cross multiply
    470,940x = 1,017,308 × 1,017,308
  4. Step 4: Simplify right side
    470,940x = 1,034,915,566,864
  5. Step 5: Solve for x
    x = 1,034,915,566,864/470,940
  6. Step 6: Final answer
    x = 2,197,552.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.