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Finding the Third Proportional to 1,030,094 and 1,569,129

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Solution

The third proportional to 1,030,094 and 1,569,129 is: 2,390,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,094 : 1,569,129 = 1,569,129 : x
  2. Step 2: Convert to fraction form
    1,030,094/1,569,129 = 1,569,129/x
  3. Step 3: Cross multiply
    1,030,094x = 1,569,129 × 1,569,129
  4. Step 4: Simplify right side
    1,030,094x = 2,462,165,818,641
  5. Step 5: Solve for x
    x = 2,462,165,818,641/1,030,094
  6. Step 6: Final answer
    x = 2,390,234.11

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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.