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Finding the Third Proportional to 468,574 and 1,004,948

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Solution

The third proportional to 468,574 and 1,004,948 is: 2,155,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,574 : 1,004,948 = 1,004,948 : x
  2. Step 2: Convert to fraction form
    468,574/1,004,948 = 1,004,948/x
  3. Step 3: Cross multiply
    468,574x = 1,004,948 × 1,004,948
  4. Step 4: Simplify right side
    468,574x = 1,009,920,482,704
  5. Step 5: Solve for x
    x = 1,009,920,482,704/468,574
  6. Step 6: Final answer
    x = 2,155,306.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.