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Finding the Third Proportional to 477,499 and 1,033,729

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Solution

The third proportional to 477,499 and 1,033,729 is: 2,237,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,499 : 1,033,729 = 1,033,729 : x
  2. Step 2: Convert to fraction form
    477,499/1,033,729 = 1,033,729/x
  3. Step 3: Cross multiply
    477,499x = 1,033,729 × 1,033,729
  4. Step 4: Simplify right side
    477,499x = 1,068,595,645,441
  5. Step 5: Solve for x
    x = 1,068,595,645,441/477,499
  6. Step 6: Final answer
    x = 2,237,901.33

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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.