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Finding the Third Proportional to 477,913 and 1,033,260

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Solution

The third proportional to 477,913 and 1,033,260 is: 2,233,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,913 : 1,033,260 = 1,033,260 : x
  2. Step 2: Convert to fraction form
    477,913/1,033,260 = 1,033,260/x
  3. Step 3: Cross multiply
    477,913x = 1,033,260 × 1,033,260
  4. Step 4: Simplify right side
    477,913x = 1,067,626,227,600
  5. Step 5: Solve for x
    x = 1,067,626,227,600/477,913
  6. Step 6: Final answer
    x = 2,233,934.27

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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.