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Finding the Third Proportional to 975,826 and 2,114,552

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Solution

The third proportional to 975,826 and 2,114,552 is: 4,582,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,826 : 2,114,552 = 2,114,552 : x
  2. Step 2: Convert to fraction form
    975,826/2,114,552 = 2,114,552/x
  3. Step 3: Cross multiply
    975,826x = 2,114,552 × 2,114,552
  4. Step 4: Simplify right side
    975,826x = 4,471,330,160,704
  5. Step 5: Solve for x
    x = 4,471,330,160,704/975,826
  6. Step 6: Final answer
    x = 4,582,097.79

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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.