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Finding the Third Proportional to 1,189,901 and 2,569,148

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Solution

The third proportional to 1,189,901 and 2,569,148 is: 5,547,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,901 : 2,569,148 = 2,569,148 : x
  2. Step 2: Convert to fraction form
    1,189,901/2,569,148 = 2,569,148/x
  3. Step 3: Cross multiply
    1,189,901x = 2,569,148 × 2,569,148
  4. Step 4: Simplify right side
    1,189,901x = 6,600,521,445,904
  5. Step 5: Solve for x
    x = 6,600,521,445,904/1,189,901
  6. Step 6: Final answer
    x = 5,547,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.