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Finding the Third Proportional to 469,089 and 1,106,248.50

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Solution

The third proportional to 469,089 and 1,106,248.50 is: 2,608,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,089 : 1,106,248.50 = 1,106,248.50 : x
  2. Step 2: Convert to fraction form
    469,089/1,106,248.50 = 1,106,248.50/x
  3. Step 3: Cross multiply
    469,089x = 1,106,248.50 × 1,106,248.50
  4. Step 4: Simplify right side
    469,089x = 1,223,785,743,752.25
  5. Step 5: Solve for x
    x = 1,223,785,743,752.25/469,089
  6. Step 6: Final answer
    x = 2,608,856.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.