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Finding the Third Proportional to 996,946 and 1,495,044

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Solution

The third proportional to 996,946 and 1,495,044 is: 2,242,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,946 : 1,495,044 = 1,495,044 : x
  2. Step 2: Convert to fraction form
    996,946/1,495,044 = 1,495,044/x
  3. Step 3: Cross multiply
    996,946x = 1,495,044 × 1,495,044
  4. Step 4: Simplify right side
    996,946x = 2,235,156,561,936
  5. Step 5: Solve for x
    x = 2,235,156,561,936/996,946
  6. Step 6: Final answer
    x = 2,242,003.64

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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.