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Finding the Third Proportional to 507,785.50 and 1,106,651

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Solution

The third proportional to 507,785.50 and 1,106,651 is: 2,411,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,785.50 : 1,106,651 = 1,106,651 : x
  2. Step 2: Convert to fraction form
    507,785.50/1,106,651 = 1,106,651/x
  3. Step 3: Cross multiply
    507,785.50x = 1,106,651 × 1,106,651
  4. Step 4: Simplify right side
    507,785.50x = 1,224,676,435,801
  5. Step 5: Solve for x
    x = 1,224,676,435,801/507,785.50
  6. Step 6: Final answer
    x = 2,411,798.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.