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Finding the Third Proportional to 749,623 and 1,639,047

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Solution

The third proportional to 749,623 and 1,639,047 is: 3,583,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,623 : 1,639,047 = 1,639,047 : x
  2. Step 2: Convert to fraction form
    749,623/1,639,047 = 1,639,047/x
  3. Step 3: Cross multiply
    749,623x = 1,639,047 × 1,639,047
  4. Step 4: Simplify right side
    749,623x = 2,686,475,068,209
  5. Step 5: Solve for x
    x = 2,686,475,068,209/749,623
  6. Step 6: Final answer
    x = 3,583,768.20

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Why These Related Problems?

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