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Finding the Third Proportional to 1,929,533 and 2,836,492

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Solution

The third proportional to 1,929,533 and 2,836,492 is: 4,169,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,533 : 2,836,492 = 2,836,492 : x
  2. Step 2: Convert to fraction form
    1,929,533/2,836,492 = 2,836,492/x
  3. Step 3: Cross multiply
    1,929,533x = 2,836,492 × 2,836,492
  4. Step 4: Simplify right side
    1,929,533x = 8,045,686,866,064
  5. Step 5: Solve for x
    x = 8,045,686,866,064/1,929,533
  6. Step 6: Final answer
    x = 4,169,758.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.