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Finding the Third Proportional to 1,909,712.32 and 2,889,246.27

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Solution

The third proportional to 1,909,712.32 and 2,889,246.27 is: 4,371,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,712.32 : 2,889,246.27 = 2,889,246.27 : x
  2. Step 2: Convert to fraction form
    1,909,712.32/2,889,246.27 = 2,889,246.27/x
  3. Step 3: Cross multiply
    1,909,712.32x = 2,889,246.27 × 2,889,246.27
  4. Step 4: Simplify right side
    1,909,712.32x = 8,347,744,005,999.96
  5. Step 5: Solve for x
    x = 8,347,744,005,999.96/1,909,712.32
  6. Step 6: Final answer
    x = 4,371,204.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.