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Finding the Third Proportional to 996,947 and 1,495,045

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Solution

The third proportional to 996,947 and 1,495,045 is: 2,242,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,947 : 1,495,045 = 1,495,045 : x
  2. Step 2: Convert to fraction form
    996,947/1,495,045 = 1,495,045/x
  3. Step 3: Cross multiply
    996,947x = 1,495,045 × 1,495,045
  4. Step 4: Simplify right side
    996,947x = 2,235,159,552,025
  5. Step 5: Solve for x
    x = 2,235,159,552,025/996,947
  6. Step 6: Final answer
    x = 2,242,004.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.