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Finding the Third Proportional to 1,030,099 and 1,569,137

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Solution

The third proportional to 1,030,099 and 1,569,137 is: 2,390,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,099 : 1,569,137 = 1,569,137 : x
  2. Step 2: Convert to fraction form
    1,030,099/1,569,137 = 1,569,137/x
  3. Step 3: Cross multiply
    1,030,099x = 1,569,137 × 1,569,137
  4. Step 4: Simplify right side
    1,030,099x = 2,462,190,924,769
  5. Step 5: Solve for x
    x = 2,462,190,924,769/1,030,099
  6. Step 6: Final answer
    x = 2,390,246.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.