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Finding the Third Proportional to 884,023 and 1,359,594.50

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Solution

The third proportional to 884,023 and 1,359,594.50 is: 2,091,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,023 : 1,359,594.50 = 1,359,594.50 : x
  2. Step 2: Convert to fraction form
    884,023/1,359,594.50 = 1,359,594.50/x
  3. Step 3: Cross multiply
    884,023x = 1,359,594.50 × 1,359,594.50
  4. Step 4: Simplify right side
    884,023x = 1,848,497,204,430.25
  5. Step 5: Solve for x
    x = 1,848,497,204,430.25/884,023
  6. Step 6: Final answer
    x = 2,091,005.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.