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Finding the Third Proportional to 690,924 and 1,495,021.50

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Solution

The third proportional to 690,924 and 1,495,021.50 is: 3,234,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,924 : 1,495,021.50 = 1,495,021.50 : x
  2. Step 2: Convert to fraction form
    690,924/1,495,021.50 = 1,495,021.50/x
  3. Step 3: Cross multiply
    690,924x = 1,495,021.50 × 1,495,021.50
  4. Step 4: Simplify right side
    690,924x = 2,235,089,285,462.25
  5. Step 5: Solve for x
    x = 2,235,089,285,462.25/690,924
  6. Step 6: Final answer
    x = 3,234,927.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.