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Finding the Third Proportional to 837,030 and 1,788,972

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Solution

The third proportional to 837,030 and 1,788,972 is: 3,823,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,030 : 1,788,972 = 1,788,972 : x
  2. Step 2: Convert to fraction form
    837,030/1,788,972 = 1,788,972/x
  3. Step 3: Cross multiply
    837,030x = 1,788,972 × 1,788,972
  4. Step 4: Simplify right side
    837,030x = 3,200,420,816,784
  5. Step 5: Solve for x
    x = 3,200,420,816,784/837,030
  6. Step 6: Final answer
    x = 3,823,543.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.