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Finding the Third Proportional to 477,468 and 1,036,308

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Solution

The third proportional to 477,468 and 1,036,308 is: 2,249,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,468 : 1,036,308 = 1,036,308 : x
  2. Step 2: Convert to fraction form
    477,468/1,036,308 = 1,036,308/x
  3. Step 3: Cross multiply
    477,468x = 1,036,308 × 1,036,308
  4. Step 4: Simplify right side
    477,468x = 1,073,934,270,864
  5. Step 5: Solve for x
    x = 1,073,934,270,864/477,468
  6. Step 6: Final answer
    x = 2,249,227.74

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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.