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Finding the Third Proportional to 533,106 and 1,154,664

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Solution

The third proportional to 533,106 and 1,154,664 is: 2,500,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,106 : 1,154,664 = 1,154,664 : x
  2. Step 2: Convert to fraction form
    533,106/1,154,664 = 1,154,664/x
  3. Step 3: Cross multiply
    533,106x = 1,154,664 × 1,154,664
  4. Step 4: Simplify right side
    533,106x = 1,333,248,952,896
  5. Step 5: Solve for x
    x = 1,333,248,952,896/533,106
  6. Step 6: Final answer
    x = 2,500,907.80

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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.