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Finding the Third Proportional to 748,316 and 1,641,506

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Solution

The third proportional to 748,316 and 1,641,506 is: 3,600,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,316 : 1,641,506 = 1,641,506 : x
  2. Step 2: Convert to fraction form
    748,316/1,641,506 = 1,641,506/x
  3. Step 3: Cross multiply
    748,316x = 1,641,506 × 1,641,506
  4. Step 4: Simplify right side
    748,316x = 2,694,541,948,036
  5. Step 5: Solve for x
    x = 2,694,541,948,036/748,316
  6. Step 6: Final answer
    x = 3,600,807.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.