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Finding the Third Proportional to 1,586,228 and 3,353,289

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Solution

The third proportional to 1,586,228 and 3,353,289 is: 7,088,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,228 : 3,353,289 = 3,353,289 : x
  2. Step 2: Convert to fraction form
    1,586,228/3,353,289 = 3,353,289/x
  3. Step 3: Cross multiply
    1,586,228x = 3,353,289 × 3,353,289
  4. Step 4: Simplify right side
    1,586,228x = 11,244,547,117,521
  5. Step 5: Solve for x
    x = 11,244,547,117,521/1,586,228
  6. Step 6: Final answer
    x = 7,088,859.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.