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Finding the Third Proportional to 1,030,115 and 1,569,161

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Solution

The third proportional to 1,030,115 and 1,569,161 is: 2,390,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,115 : 1,569,161 = 1,569,161 : x
  2. Step 2: Convert to fraction form
    1,030,115/1,569,161 = 1,569,161/x
  3. Step 3: Cross multiply
    1,030,115x = 1,569,161 × 1,569,161
  4. Step 4: Simplify right side
    1,030,115x = 2,462,266,243,921
  5. Step 5: Solve for x
    x = 2,462,266,243,921/1,030,115
  6. Step 6: Final answer
    x = 2,390,282.88

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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.