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Finding the Third Proportional to 739,506 and 1,056,757.50

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Solution

The third proportional to 739,506 and 1,056,757.50 is: 1,510,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,506 : 1,056,757.50 = 1,056,757.50 : x
  2. Step 2: Convert to fraction form
    739,506/1,056,757.50 = 1,056,757.50/x
  3. Step 3: Cross multiply
    739,506x = 1,056,757.50 × 1,056,757.50
  4. Step 4: Simplify right side
    739,506x = 1,116,736,413,806.25
  5. Step 5: Solve for x
    x = 1,116,736,413,806.25/739,506
  6. Step 6: Final answer
    x = 1,510,111.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.